3658537152 has 224 divisors, whose sum is σ = 11113251840. Its totient is φ = 1179601920.

The previous prime is 3658537147. The next prime is 3658537177. The reversal of 3658537152 is 2517358563.

3658537152 is a `hidden beast` number, since 3 + 65 + 8 + 537 + 1 + 52 = 666.

It is a super-2 number, since 2×3658537152² = 26769788185128542208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3658537098 and 3658537107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8689902 + ... + 8690322.

Almost surely, 2^3658537152 is an apocalyptic number.

3658537152 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 3658537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556625920).

3658537152 is an abundant number, since it is smaller than the sum of its proper divisors (7454714688).

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

3658537152 is a wasteful number, since it uses less digits than its factorization.

3658537152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 3658537152 is about 60485.8425749365. The cubic root of 3658537152 is about 1540.8812002897.

It can be divided in two parts, 36585 and 37152, that added together give a palindrome (73737).

The spelling of 3658537152 in words is "three billion, six hundred fifty-eight million, five hundred thirty-seven thousand, one hundred fifty-two".