3357352008 has 96 divisors (see below), whose sum is σ = 9244497600. Its totient is φ = 1100534400.

The previous prime is 3357352001. The next prime is 3357352013. The reversal of 3357352008 is 8002537533.

3357352008 is a `hidden beast` number, since 33 + 573 + 52 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×3357352008² = 22543625011243264128, 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 (3357352001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3163798 + ... + 3164858.

It is an arithmetic number, because the mean of its divisors is an integer number (96296850).

Almost surely, 2^3357352008 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 3357352008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622248800).

3357352008 is an abundant number, since it is smaller than the sum of its proper divisors (5887145592).

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

3357352008 is a wasteful number, since it uses less digits than its factorization.

3357352008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3357352008 is about 57942.6613817488. The cubic root of 3357352008 is about 1497.3809122479.

The spelling of 3357352008 in words is "three billion, three hundred fifty-seven million, three hundred fifty-two thousand, eight".