34877187072 has 594 divisors, whose sum is σ = 127131338178. Its totient is φ = 9178251264.

The previous prime is 34877187061. The next prime is 34877187073. The reversal of 34877187072 is 27078177843.

It can be written as a sum of positive squares in 3 ways, for example, as 1467196416 + 33409990656 = 38304^2 + 182784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34877187073) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 76317468 + ... + 76317924.

Almost surely, 2^34877187072 is an apocalyptic number.

34877187072 is a gapful number since it is divisible by the number (32) 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 34877187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63565669089).

34877187072 is an abundant number, since it is smaller than the sum of its proper divisors (92254151106).

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

34877187072 is a wasteful number, since it uses less digits than its factorization.

34877187072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 34877187072 in words is "thirty-four billion, eight hundred seventy-seven million, one hundred eighty-seven thousand, seventy-two".