34347037992960 has 1152 divisors, whose sum is σ = 139717363968000. Its totient is φ = 7123074416640.

The previous prime is 34347037992947. The next prime is 34347037992973. The reversal of 34347037992960 is 6929973074343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34347037992947) and next prime (34347037992973).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 34347037992891 and 34347037992900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9918288189 + ... + 9918291651.

It is an arithmetic number, because the mean of its divisors is an integer number (121282434000).

Almost surely, 2^{34347037992960} is an apocalyptic number.

34347037992960 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 34347037992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69858681984000).

34347037992960 is an abundant number, since it is smaller than the sum of its proper divisors (105370325975040).

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

34347037992960 is a wasteful number, since it uses less digits than its factorization.

34347037992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 66.

The spelling of 34347037992960 in words is "thirty-four trillion, three hundred forty-seven billion, thirty-seven million, nine hundred ninety-two thousand, nine hundred sixty".