3947366400 has 288 divisors, whose sum is σ = 13486636800. Its totient is φ = 1017446400.

The previous prime is 3947366387. The next prime is 3947366419. The reversal of 3947366400 is 46637493.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761186 + ... + 4762014.

It is an arithmetic number, because the mean of its divisors is an integer number (46828600).

Almost surely, 2^3947366400 is an apocalyptic number.

3947366400 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 3947366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743318400).

3947366400 is an abundant number, since it is smaller than the sum of its proper divisors (9539270400).

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

3947366400 is a wasteful number, since it uses less digits than its factorization.

3947366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 3947366400 is about 62828.0701597622. The cubic root of 3947366400 is about 1580.4077353944.

The spelling of 3947366400 in words is "three billion, nine hundred forty-seven million, three hundred sixty-six thousand, four hundred".