3643016832 has 768 divisors, whose sum is σ = 14257152000. Its totient is φ = 865935360.

The previous prime is 3643016809. The next prime is 3643016879. The reversal of 3643016832 is 2386103463.

3643016832 is a `hidden beast` number, since 3 + 643 + 0 + 1 + 6 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61746019 + ... + 61746077.

It is an arithmetic number, because the mean of its divisors is an integer number (18564000).

Almost surely, 2^3643016832 is an apocalyptic number.

3643016832 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 3643016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128576000).

3643016832 is an abundant number, since it is smaller than the sum of its proper divisors (10614135168).

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

3643016832 is a wasteful number, since it uses less digits than its factorization.

3643016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3643016832 is about 60357.4090895227. The cubic root of 3643016832 is about 1538.6991927674.

It can be divided in two parts, 364 and 3016832, that added together give a triangular number (3017196 = T₂₄₅₆).

The spelling of 3643016832 in words is "three billion, six hundred forty-three million, sixteen thousand, eight hundred thirty-two".