34996328640 has 1120 divisors, whose sum is σ = 157749508224. Its totient is φ = 7166361600.

The previous prime is 34996328623. The next prime is 34996328659. The reversal of 34996328640 is 4682369943.

34996328640 is a `hidden beast` number, since 3 + 499 + 6 + 32 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87272440 + ... + 87272840.

Almost surely, 2^34996328640 is an apocalyptic number.

34996328640 is a gapful number since it is divisible by the number (30) 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 34996328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78874754112).

34996328640 is an abundant number, since it is smaller than the sum of its proper divisors (122753179584).

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

34996328640 is a wasteful number, since it uses less digits than its factorization.

34996328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 34996328640 in words is "thirty-four billion, nine hundred ninety-six million, three hundred twenty-eight thousand, six hundred forty".