34139667373056 has 880 divisors, whose sum is σ = 119101288660992. Its totient is φ = 9539621683200.

The previous prime is 34139667373003. The next prime is 34139667373087. The reversal of 34139667373056 is 65037376693143.

It is a happy number.

34139667373056 is a `hidden beast` number, since 3 + 413 + 96 + 67 + 3 + 73 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 34139667372984 and 34139667373002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5235339076 + ... + 5235345596.

Almost surely, 2^{34139667373056} is an apocalyptic number.

34139667373056 is a gapful number since it is divisible by the number (36) 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 34139667373056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59550644330496).

34139667373056 is an abundant number, since it is smaller than the sum of its proper divisors (84961621287936).

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

34139667373056 is a wasteful number, since it uses less digits than its factorization.

34139667373056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 63.

The spelling of 34139667373056 in words is "thirty-four trillion, one hundred thirty-nine billion, six hundred sixty-seven million, three hundred seventy-three thousand, fifty-six".