34719670440960 has 704 divisors, whose sum is σ = 118734790636800. Its totient is φ = 8634004144128.

The previous prime is 34719670440937. The next prime is 34719670440971. The reversal of 34719670440960 is 6904407691743.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 34719670440894 and 34719670440903.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6051883212 + ... + 6051888948.

Almost surely, 2^{34719670440960} is an apocalyptic number.

34719670440960 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 34719670440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59367395318400).

34719670440960 is an abundant number, since it is smaller than the sum of its proper divisors (84015120195840).

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

34719670440960 is a wasteful number, since it uses less digits than its factorization.

34719670440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 34719670440960 in words is "thirty-four trillion, seven hundred nineteen billion, six hundred seventy million, four hundred forty thousand, nine hundred sixty".