3401570952 has 192 divisors, whose sum is σ = 10189670400. Its totient is φ = 1018667520.

The previous prime is 3401570941. The next prime is 3401570971. The reversal of 3401570952 is 2590751043.

3401570952 is a `hidden beast` number, since 34 + 0 + 1 + 570 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9474949 + ... + 9475307.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^3401570952 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 3401570952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

3401570952 is an abundant number, since it is smaller than the sum of its proper divisors (6788099448).

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

3401570952 is a wasteful number, since it uses less digits than its factorization.

3401570952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3401570952 is about 58322.9881950505. The cubic root of 3401570952 is about 1503.9261519214.

The spelling of 3401570952 in words is "three billion, four hundred one million, five hundred seventy thousand, nine hundred fifty-two".