3649875840 has 384 divisors, whose sum is σ = 13767062400. Its totient is φ = 885620736.

The previous prime is 3649875821. The next prime is 3649875893. The reversal of 3649875840 is 485789463.

3649875840 is a `hidden beast` number, since 3 + 6 + 498 + 75 + 84 + 0 = 666.

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

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, 5915212 + ... + 5915828.

It is an arithmetic number, because the mean of its divisors is an integer number (35851725).

Almost surely, 2^3649875840 is an apocalyptic number.

3649875840 is a gapful number since it is divisible by the number (30) 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 3649875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883531200).

3649875840 is an abundant number, since it is smaller than the sum of its proper divisors (10117186560).

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

3649875840 is a wasteful number, since it uses less digits than its factorization.

3649875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3649875840 is about 60414.2023037630. The cubic root of 3649875840 is about 1539.6642659363.

The spelling of 3649875840 in words is "three billion, six hundred forty-nine million, eight hundred seventy-five thousand, eight hundred forty".