3658338432 has 480 divisors, whose sum is σ = 13366386000. Its totient is φ = 987614208.

The previous prime is 3658338419. The next prime is 3658338479. The reversal of 3658338432 is 2348338563.

3658338432 is a `hidden beast` number, since 3 + 6 + 583 + 38 + 4 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9652419 + ... + 9652797.

Almost surely, 2^3658338432 is an apocalyptic number.

3658338432 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 3658338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683193000).

3658338432 is an abundant number, since it is smaller than the sum of its proper divisors (9708047568).

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

3658338432 is a wasteful number, since it uses less digits than its factorization.

3658338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3658338432 is about 60484.1998541768. The cubic root of 3658338432 is about 1540.8533012102.

The spelling of 3658338432 in words is "three billion, six hundred fifty-eight million, three hundred thirty-eight thousand, four hundred thirty-two".