3994628400 has 840 divisors, whose sum is σ = 17478206720. Its totient is φ = 856604160.

The previous prime is 3994628387. The next prime is 3994628441. The reversal of 3994628400 is 48264993.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 38782749 + ... + 38782851.

Almost surely, 2^3994628400 is an apocalyptic number.

3994628400 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 3994628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739103360).

3994628400 is an abundant number, since it is smaller than the sum of its proper divisors (13483578320).

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

3994628400 is a wasteful number, since it uses less digits than its factorization.

3994628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3994628400 is about 63203.0727101143. The cubic root of 3994628400 is about 1586.6901600300.

The spelling of 3994628400 in words is "three billion, nine hundred ninety-four million, six hundred twenty-eight thousand, four hundred".