3890971200 has 336 divisors, whose sum is σ = 13384540160. Its totient is φ = 988416000.

The previous prime is 3890971159. The next prime is 3890971241. The reversal of 3890971200 is 21790983.

It is an interprime number because it is at equal distance from previous prime (3890971159) and next prime (3890971241).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11755035 + ... + 11755365.

Almost surely, 2^3890971200 is an apocalyptic number.

3890971200 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 3890971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692270080).

3890971200 is an abundant number, since it is smaller than the sum of its proper divisors (9493568960).

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

3890971200 is a wasteful number, since it uses less digits than its factorization.

3890971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 3890971200 is about 62377.6498435137. The cubic root of 3890971200 is about 1572.8452873553.

The spelling of 3890971200 in words is "three billion, eight hundred ninety million, nine hundred seventy-one thousand, two hundred".