34872745440 has 192 divisors, whose sum is σ = 121051155456. Its totient is φ = 8384366592.

The previous prime is 34872745387. The next prime is 34872745487. The reversal of 34872745440 is 4454727843.

34872745440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34872745440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34872745440.

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, 203337 + ... + 333303.

It is an arithmetic number, because the mean of its divisors is an integer number (630474768).

Almost surely, 2^34872745440 is an apocalyptic number.

34872745440 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 34872745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60525577728).

34872745440 is an abundant number, since it is smaller than the sum of its proper divisors (86178410016).

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

34872745440 is a wasteful number, since it uses less digits than its factorization.

34872745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130041 (or 130033 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 48.

The spelling of 34872745440 in words is "thirty-four billion, eight hundred seventy-two million, seven hundred forty-five thousand, four hundred forty".