34995287712 has 384 divisors, whose sum is σ = 127658280960. Its totient is φ = 8104181760.

The previous prime is 34995287699. The next prime is 34995287737. The reversal of 34995287712 is 21778259943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2380288 + ... + 2394944.

It is an arithmetic number, because the mean of its divisors is an integer number (332443440).

Almost surely, 2^34995287712 is an apocalyptic number.

34995287712 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 34995287712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63829140480).

34995287712 is an abundant number, since it is smaller than the sum of its proper divisors (92662993248).

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

34995287712 is a wasteful number, since it uses less digits than its factorization.

34995287712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14724 (or 14716 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The spelling of 34995287712 in words is "thirty-four billion, nine hundred ninety-five million, two hundred eighty-seven thousand, seven hundred twelve".