3902001600 has 168 divisors, whose sum is σ = 14630773888. Its totient is φ = 891878400.

The previous prime is 3902001581. The next prime is 3902001601. The reversal of 3902001600 is 61002093.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3902001601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24466 + ... + 91665.

Almost surely, 2^3902001600 is an apocalyptic number.

3902001600 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 3902001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315386944).

3902001600 is an abundant number, since it is smaller than the sum of its proper divisors (10728772288).

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

3902001600 is a wasteful number, since it uses less digits than its factorization.

3902001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116163 (or 116148 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 3902001600 is about 62466.0035539332. The cubic root of 3902001600 is about 1574.3301560744.

Adding to 3902001600 its reverse (61002093), we get a palindrome (3963003693).

The spelling of 3902001600 in words is "three billion, nine hundred two million, one thousand, six hundred".