3991814400 has 324 divisors, whose sum is σ = 15328258512. Its totient is φ = 912199680.

The previous prime is 3991814377. The next prime is 3991814423. The reversal of 3991814400 is 44181993.

It is an interprime number because it is at equal distance from previous prime (3991814377) and next prime (3991814423).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 938679 + ... + 942921.

Almost surely, 2^3991814400 is an apocalyptic number.

3991814400 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 3991814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664129256).

3991814400 is an abundant number, since it is smaller than the sum of its proper divisors (11336444112).

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

3991814400 is a wasteful number, since it uses less digits than its factorization.

3991814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3991814400 is about 63180.8072123173. The cubic root of 3991814400 is about 1586.3174933293.

The spelling of 3991814400 in words is "three billion, nine hundred ninety-one million, eight hundred fourteen thousand, four hundred".