3238507008 has 400 divisors, whose sum is σ = 10932514560. Its totient is φ = 945561600.

The previous prime is 3238507001. The next prime is 3238507009. The reversal of 3238507008 is 8007058323.

It is a super-2 number, since 2×3238507008² = 20975855281730224128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3238507001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14141838 + ... + 14142066.

Almost surely, 2^3238507008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3238507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466257280).

3238507008 is an abundant number, since it is smaller than the sum of its proper divisors (7694007552).

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

3238507008 is a wasteful number, since it uses less digits than its factorization.

3238507008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3238507008 is about 56907.8817739687. The cubic root of 3238507008 is about 1479.4999235734.

The spelling of 3238507008 in words is "three billion, two hundred thirty-eight million, five hundred seven thousand, eight".