34858073725440 has 320 divisors, whose sum is σ = 127378711240704. Its totient is φ = 7966167810048.

The previous prime is 34858073725421. The next prime is 34858073725463. The reversal of 34858073725440 is 4452737085843.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 325033107 + ... + 325140333.

Almost surely, 2^{34858073725440} is an apocalyptic number.

34858073725440 is a gapful number since it is divisible by the number (30) 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 34858073725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63689355620352).

34858073725440 is an abundant number, since it is smaller than the sum of its proper divisors (92520637515264).

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

34858073725440 is a wasteful number, since it uses less digits than its factorization.

34858073725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113307 (or 113291 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 60.

The spelling of 34858073725440 in words is "thirty-four trillion, eight hundred fifty-eight billion, seventy-three million, seven hundred twenty-five thousand, four hundred forty".