3980631600 has 840 divisors, whose sum is σ = 16789162032. Its totient is φ = 895795200.

The previous prime is 3980631559. The next prime is 3980631607. The reversal of 3980631600 is 61360893.

It is a happy number.

3980631600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3980631607) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 54529164 + ... + 54529236.

Almost surely, 2^3980631600 is an apocalyptic number.

3980631600 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 3980631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394581016).

3980631600 is an abundant number, since it is smaller than the sum of its proper divisors (12808530432).

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

3980631600 is a wasteful number, since it uses less digits than its factorization.

3980631600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3980631600 is about 63092.2467502941. The cubic root of 3980631600 is about 1584.8347872524.

The spelling of 3980631600 in words is "three billion, nine hundred eighty million, six hundred thirty-one thousand, six hundred".