34657421056560 has 240 divisors, whose sum is σ = 120709494097920. Its totient is φ = 9241401818880.

The previous prime is 34657421056553. The next prime is 34657421056591. The reversal of 34657421056560 is 6565012475643.

34657421056560 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 7 + 4 + 2 + 10 + 565 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×34657421056560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34657421056497 and 34657421056506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376915071 + ... + 377007009.

It is an arithmetic number, because the mean of its divisors is an integer number (502956225408).

Almost surely, 2^{34657421056560} is an apocalyptic number.

34657421056560 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 34657421056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60354747048960).

34657421056560 is an abundant number, since it is smaller than the sum of its proper divisors (86052073041360).

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

34657421056560 is a wasteful number, since it uses less digits than its factorization.

34657421056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111358 (or 111340 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 34657421056560 in words is "thirty-four trillion, six hundred fifty-seven billion, four hundred twenty-one million, fifty-six thousand, five hundred sixty".