3902774400 has 672 divisors, whose sum is σ = 16589116800. Its totient is φ = 888330240.

The previous prime is 3902774387. The next prime is 3902774423. The reversal of 3902774400 is 44772093.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329481 + ... + 16329719.

Almost surely, 2^3902774400 is an apocalyptic number.

3902774400 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 3902774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294558400).

3902774400 is an abundant number, since it is smaller than the sum of its proper divisors (12686342400).

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

3902774400 is an equidigital number, since it uses as much as digits as its factorization.

3902774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3902774400 is about 62472.1890123917. The cubic root of 3902774400 is about 1574.4340823972.

The spelling of 3902774400 in words is "three billion, nine hundred two million, seven hundred seventy-four thousand, four hundred".