3434401572 has 144 divisors (see below), whose sum is σ = 9774338112. Its totient is φ = 934778880.

The previous prime is 3434401567. The next prime is 3434401573. The reversal of 3434401572 is 2751044343.

3434401572 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 2×3434401572² = 23590228315512142368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3434401573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034988 + ... + 1038300.

It is an arithmetic number, because the mean of its divisors is an integer number (67877348).

Almost surely, 2^3434401572 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 3434401572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887169056).

3434401572 is an abundant number, since it is smaller than the sum of its proper divisors (6339936540).

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

3434401572 is a wasteful number, since it uses less digits than its factorization.

3434401572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3434401572 is about 58603.7675580675. The cubic root of 3434401572 is about 1508.7491024757.

The spelling of 3434401572 in words is "three billion, four hundred thirty-four million, four hundred one thousand, five hundred seventy-two".