34070777674440 has 96 divisors (see below), whose sum is σ = 110679626949120. Its totient is φ = 8386652961024.

The previous prime is 34070777674429. The next prime is 34070777674463. The reversal of 34070777674440 is 4447677707043.

It is a super-2 number, since 2×34070777674440² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839989032 + ... + 840029591.

It is an arithmetic number, because the mean of its divisors is an integer number (1152912780720).

Almost surely, 2^{34070777674440} is an apocalyptic number.

34070777674440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34070777674440 is an abundant number, since it is smaller than the sum of its proper divisors (76608849274680).

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

34070777674440 is a wasteful number, since it uses less digits than its factorization.

34070777674440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680018663 (or 1680018646 counting only the distinct ones).

The product of its (nonzero) digits is 77446656, while the sum is 60.

The spelling of 34070777674440 in words is "thirty-four trillion, seventy billion, seven hundred seventy-seven million, six hundred seventy-four thousand, four hundred forty".