34977913681392 has 400 divisors, whose sum is σ = 113677760988000. Its totient is φ = 10289860116480.

The previous prime is 34977913681379. The next prime is 34977913681397. The reversal of 34977913681392 is 29318631977943.

It is a happy number.

34977913681392 is a `hidden beast` number, since 3 + 4 + 9 + 77 + 91 + 3 + 6 + 81 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 34977913681392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34977913681397) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236761084 + ... + 236908772.

It is an arithmetic number, because the mean of its divisors is an integer number (284194402470).

Almost surely, 2^{34977913681392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34977913681392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56838880494000).

34977913681392 is an abundant number, since it is smaller than the sum of its proper divisors (78699847306608).

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

34977913681392 is a wasteful number, since it uses less digits than its factorization.

34977913681392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148206 (or 148191 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 34977913681392 in words is "thirty-four trillion, nine hundred seventy-seven billion, nine hundred thirteen million, six hundred eighty-one thousand, three hundred ninety-two".