34075319040 has 864 divisors, whose sum is σ = 142769442816. Its totient is φ = 7338885120.

The previous prime is 34075319023. The next prime is 34075319051. The reversal of 34075319040 is 4091357043.

34075319040 is a `hidden beast` number, since 34 + 0 + 7 + 531 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×34075319040² (a number of 22 digits) contains 22 as substring.

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 = 34075318986 and 34075319004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107492962 + ... + 107493278.

Almost surely, 2^34075319040 is an apocalyptic number.

34075319040 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 34075319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71384721408).

34075319040 is an abundant number, since it is smaller than the sum of its proper divisors (108694123776).

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

34075319040 is a wasteful number, since it uses less digits than its factorization.

34075319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

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

The spelling of 34075319040 in words is "thirty-four billion, seventy-five million, three hundred nineteen thousand, forty".