3890016900 has 729 divisors, whose sum is σ = 16189202757. Its totient is φ = 808315200.

The previous prime is 3890016863. The next prime is 3890016913. The reversal of 3890016900 is 96100983.

The square root of 3890016900 is 62370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1400406084 + 2489610816 = 37422^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a super-2 number, since 2×3890016900² = 30264462964571220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 353637895 + ... + 353637905.

Almost surely, 2^3890016900 is an apocalyptic number.

3890016900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3890016900 is the 62370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890016900

3890016900 is an abundant number, since it is smaller than the sum of its proper divisors (12299185857).

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

3890016900 is a wasteful number, since it uses less digits than its factorization.

3890016900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 3890016900 is about 1572.7166914422.

Multiplying 3890016900 by its sum of digits (36), we get a square (140040608400 = 374220²).

3890016900 divided by its sum of digits (36) gives a square (108056025 = 10395²).

Multiplying 3890016900 by its product of nonzero digits (11664), we get a square (45373157121600 = 6735960²).

The spelling of 3890016900 in words is "three billion, eight hundred ninety million, sixteen thousand, nine hundred".