3989746800 has 480 divisors, whose sum is σ = 15475328960. Its totient is φ = 970444800.

The previous prime is 3989746799. The next prime is 3989746801. The reversal of 3989746800 is 86479893.

3989746800 is a `hidden beast` number, since 3 + 98 + 97 + 468 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3989746799) and next prime (3989746801).

It is a super-2 number, since 2×3989746800² = 31836159056220480000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989746801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22042710 + ... + 22042890.

Almost surely, 2^3989746800 is an apocalyptic number.

3989746800 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 3989746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737664480).

3989746800 is an abundant number, since it is smaller than the sum of its proper divisors (11485582160).

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

3989746800 is a wasteful number, since it uses less digits than its factorization.

3989746800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3989746800 is about 63164.4425290052. The cubic root of 3989746800 is about 1586.0435630507.

The spelling of 3989746800 in words is "three billion, nine hundred eighty-nine million, seven hundred forty-six thousand, eight hundred".