34107359040 has 224 divisors, whose sum is σ = 126656592000. Its totient is φ = 8616554496.

The previous prime is 34107358939. The next prime is 34107359051. The reversal of 34107359040 is 4095370143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34107358986 and 34107359004.

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, 60276 + ... + 268044.

Almost surely, 2^34107359040 is an apocalyptic number.

34107359040 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 34107359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63328296000).

34107359040 is an abundant number, since it is smaller than the sum of its proper divisors (92549232960).

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

34107359040 is a wasteful number, since it uses less digits than its factorization.

34107359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207814 (or 207798 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 34107359040 in words is "thirty-four billion, one hundred seven million, three hundred fifty-nine thousand, forty".