34700894097408 has 2080 divisors, whose sum is σ = 138914117760000. Its totient is φ = 8532986757120.

The previous prime is 34700894097403. The next prime is 34700894097451. The reversal of 34700894097408 is 80479049800743.

34700894097408 is a `hidden beast` number, since 3 + 470 + 0 + 8 + 94 + 0 + 9 + 74 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34700894097403) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 23784025383 + ... + 23784026841.

Almost surely, 2^{34700894097408} is an apocalyptic number.

34700894097408 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 34700894097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457058880000).

34700894097408 is an abundant number, since it is smaller than the sum of its proper divisors (104213223662592).

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

34700894097408 is a wasteful number, since it uses less digits than its factorization.

34700894097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 34700894097408 in words is "thirty-four trillion, seven hundred billion, eight hundred ninety-four million, ninety-seven thousand, four hundred eight".