3432070656 has 320 divisors, whose sum is σ = 12020659200. Its totient is φ = 946003968.

The previous prime is 3432070639. The next prime is 3432070669. The reversal of 3432070656 is 6560702343.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3432070656.

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, 2805661 + ... + 2806883.

It is an arithmetic number, because the mean of its divisors is an integer number (37564560).

Almost surely, 2^3432070656 is an apocalyptic number.

3432070656 is a gapful number since it is divisible by the number (36) 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 3432070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010329600).

3432070656 is an abundant number, since it is smaller than the sum of its proper divisors (8588588544).

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

3432070656 is a wasteful number, since it uses less digits than its factorization.

3432070656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3432070656 is about 58583.8770994205. The cubic root of 3432070656 is about 1508.4076976967.

Adding to 3432070656 its reverse (6560702343), we get a palindrome (9992772999).

It can be divided in two parts, 34320 and 70656, that added together give a 4-th power (104976 = 18⁴).

The spelling of 3432070656 in words is "three billion, four hundred thirty-two million, seventy thousand, six hundred fifty-six".