3904718400 has 756 divisors, whose sum is σ = 16010235696. Its totient is φ = 935193600.

The previous prime is 3904718399. The next prime is 3904718401. The reversal of 3904718400 is 48174093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3904718399) and next prime (3904718401).

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

It is not an unprimeable number, because it can be changed into a prime (3904718401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47044759 + ... + 47044841.

Almost surely, 2^3904718400 is an apocalyptic number.

3904718400 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 3904718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005117848).

3904718400 is an abundant number, since it is smaller than the sum of its proper divisors (12105517296).

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

3904718400 is a wasteful number, since it uses less digits than its factorization.

3904718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3904718400 is about 62487.7459987156. The cubic root of 3904718400 is about 1574.6954513191.

The spelling of 3904718400 in words is "three billion, nine hundred four million, seven hundred eighteen thousand, four hundred".