34577039952 has 480 divisors, whose sum is σ = 126579398400. Its totient is φ = 8555839488.

The previous prime is 34577039927. The next prime is 34577039953. The reversal of 34577039952 is 25993077543.

34577039952 is a `hidden beast` number, since 3 + 457 + 70 + 39 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34577039953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28133674 + ... + 28134902.

It is an arithmetic number, because the mean of its divisors is an integer number (263707080).

Almost surely, 2^34577039952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34577039952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63289699200).

34577039952 is an abundant number, since it is smaller than the sum of its proper divisors (92002358448).

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

34577039952 is a wasteful number, since it uses less digits than its factorization.

34577039952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 34577039952 in words is "thirty-four billion, five hundred seventy-seven million, thirty-nine thousand, nine hundred fifty-two".