3497624064 has 600 divisors, whose sum is σ = 12446133084. Its totient is φ = 973209600.

The previous prime is 3497624033. The next prime is 3497624077. The reversal of 3497624064 is 4604267943.

It is a happy number.

3497624064 is a `hidden beast` number, since 3 + 497 + 62 + 40 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3434897664 + 62726400 = 58608^2 + 7920^2 .

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, 85307884 + ... + 85307924.

It is a vampire number, since it can be written as 37026 ⋅ 94464 (with its own digits).

Almost surely, 2^3497624064 is an apocalyptic number.

3497624064 is a gapful number since it is divisible by the number (34) 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 3497624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223066542).

3497624064 is an abundant number, since it is smaller than the sum of its proper divisors (8948509020).

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

3497624064 is a wasteful number, since it uses less digits than its factorization.

3497624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3497624064 is about 59140.7140978193. The cubic root of 3497624064 is about 1517.9508490702.

The spelling of 3497624064 in words is "three billion, four hundred ninety-seven million, six hundred twenty-four thousand, sixty-four".