3401395200 has 1056 divisors, whose sum is σ = 15432742400. Its totient is φ = 716636160.

The previous prime is 3401395189. The next prime is 3401395243. The reversal of 3401395200 is 25931043.

3401395200 is a `hidden beast` number, since 3 + 4 + 0 + 139 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91929582 + ... + 91929618.

Almost surely, 2^3401395200 is an apocalyptic number.

3401395200 is a gapful number since it is divisible by the number (30) 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 3401395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716371200).

3401395200 is an abundant number, since it is smaller than the sum of its proper divisors (12031347200).

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

3401395200 is a wasteful number, since it uses less digits than its factorization.

3401395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3401395200 is about 58321.4814626652. The cubic root of 3401395200 is about 1503.9002499107.

The spelling of 3401395200 in words is "three billion, four hundred one million, three hundred ninety-five thousand, two hundred".