3262637952 has 384 divisors, whose sum is σ = 11456640000. Its totient is φ = 889168896.

The previous prime is 3262637933. The next prime is 3262637993. The reversal of 3262637952 is 2597362623.

3262637952 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 637 + 9 + 5 + 2 = 666.

3262637952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3262637898 and 3262637907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9087949 + ... + 9088307.

It is an arithmetic number, because the mean of its divisors is an integer number (29835000).

Almost surely, 2^3262637952 is an apocalyptic number.

3262637952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3262637952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320000).

3262637952 is an abundant number, since it is smaller than the sum of its proper divisors (8194002048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3262637952 is a wasteful number, since it uses less digits than its factorization.

3262637952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3262637952 is about 57119.5058802157. The cubic root of 3262637952 is about 1483.1655448754.

The spelling of 3262637952 in words is "three billion, two hundred sixty-two million, six hundred thirty-seven thousand, nine hundred fifty-two".