3671748480 has 256 divisors, whose sum is σ = 12399609600. Its totient is φ = 921600000.

The previous prime is 3671748433. The next prime is 3671748503. The reversal of 3671748480 is 848471763.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9156280 + ... + 9156680.

It is an arithmetic number, because the mean of its divisors is an integer number (48435975).

Almost surely, 2^3671748480 is an apocalyptic number.

3671748480 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 3671748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199804800).

3671748480 is an abundant number, since it is smaller than the sum of its proper divisors (8727861120).

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

3671748480 is a wasteful number, since it uses less digits than its factorization.

3671748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 3671748480 is about 60594.9542453825. The cubic root of 3671748480 is about 1542.7337287134.

It can be divided in two parts, 3671 and 748480, that added together give a triangular number (752151 = T₁₂₂₆).

The spelling of 3671748480 in words is "three billion, six hundred seventy-one million, seven hundred forty-eight thousand, four hundred eighty".