34091439153408 has 1944 divisors, whose sum is σ = 131379780168000. Its totient is φ = 8449546420224.

The previous prime is 34091439153407. The next prime is 34091439153433. The reversal of 34091439153408 is 80435193419043.

34091439153408 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 14 + 3 + 91 + 534 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (34091439153403) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 56913921493 + ... + 56913922091.

Almost surely, 2^{34091439153408} is an apocalyptic number.

34091439153408 is a gapful number since it is divisible by the number (38) 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 34091439153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65689890084000).

34091439153408 is an abundant number, since it is smaller than the sum of its proper divisors (97288341014592).

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

34091439153408 is a wasteful number, since it uses less digits than its factorization.

34091439153408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 34091439153408 in words is "thirty-four trillion, ninety-one billion, four hundred thirty-nine million, one hundred fifty-three thousand, four hundred eight".