34105631040 has 224 divisors, whose sum is σ = 129572674560. Its totient is φ = 8395204608.

The previous prime is 34105631033. The next prime is 34105631051. The reversal of 34105631040 is 4013650143.

34105631040 is a `hidden beast` number, since 341 + 0 + 5 + 6 + 310 + 4 + 0 = 666.

It is a super-2 number, since 2×34105631040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34105630995 and 34105631013.

It is a congruent number.

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, 39504 + ... + 264143.

It is an arithmetic number, because the mean of its divisors is an integer number (578449440).

Almost surely, 2^34105631040 is an apocalyptic number.

34105631040 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 34105631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64786337280).

34105631040 is an abundant number, since it is smaller than the sum of its proper divisors (95467043520).

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

34105631040 is a wasteful number, since it uses less digits than its factorization.

34105631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303686 (or 303670 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 34105631040 in words is "thirty-four billion, one hundred five million, six hundred thirty-one thousand, forty".