3212760400 has 60 divisors (see below), whose sum is σ = 7724837052. Its totient is φ = 1284075520.

The previous prime is 3212760367. The next prime is 3212760427. The reversal of 3212760400 is 40672123.

It can be written as a sum of positive squares in 6 ways, for example, as 1498176 + 3211262224 = 1224^2 + 56668^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676434 + ... + 681166.

Almost surely, 2^3212760400 is an apocalyptic number.

It is an amenable number.

3212760400 is an abundant number, since it is smaller than the sum of its proper divisors (4512076652).

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

3212760400 is a wasteful number, since it uses less digits than its factorization.

3212760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3212760400 is about 56681.2173475482. The cubic root of 3212760400 is about 1475.5687397849.

The spelling of 3212760400 in words is "three billion, two hundred twelve million, seven hundred sixty thousand, four hundred".