34893731040 has 576 divisors, whose sum is σ = 135977667840. Its totient is φ = 7478231040.

The previous prime is 34893731011. The next prime is 34893731053. The reversal of 34893731040 is 4013739843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34893730983 and 34893731001.

It is a congruent number.

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, 50497095 + ... + 50497785.

It is an arithmetic number, because the mean of its divisors is an integer number (236072340).

Almost surely, 2^34893731040 is an apocalyptic number.

34893731040 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 34893731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67988833920).

34893731040 is an abundant number, since it is smaller than the sum of its proper divisors (101083936800).

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

34893731040 is a wasteful number, since it uses less digits than its factorization.

34893731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 34893731040 in words is "thirty-four billion, eight hundred ninety-three million, seven hundred thirty-one thousand, forty".