3391270400 has 180 divisors, whose sum is σ = 9775722528. Its totient is φ = 1162506240.

The previous prime is 3391270391. The next prime is 3391270427. The reversal of 3391270400 is 40721933.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 624497 + ... + 629903.

Almost surely, 2^3391270400 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 3391270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887861264).

3391270400 is an abundant number, since it is smaller than the sum of its proper divisors (6384452128).

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

3391270400 is an equidigital number, since it uses as much as digits as its factorization.

3391270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 3391270400 is about 58234.6151356734. The cubic root of 3391270400 is about 1502.4065665232.

The spelling of 3391270400 in words is "three billion, three hundred ninety-one million, two hundred seventy thousand, four hundred".