3956472900 has 432 divisors, whose sum is σ = 14008634640. Its totient is φ = 928972800.

The previous prime is 3956472893. The next prime is 3956472911. The reversal of 3956472900 is 92746593.

It is a happy number.

3956472900 is a `hidden beast` number, since 3 + 95 + 6 + 472 + 90 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 622103364 + 3334369536 = 24942^2 + 57744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16416780 + ... + 16417020.

It is an arithmetic number, because the mean of its divisors is an integer number (32427395).

Almost surely, 2^3956472900 is an apocalyptic number.

3956472900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 62900×62901.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3956472900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004317320).

3956472900 is an abundant number, since it is smaller than the sum of its proper divisors (10052161740).

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

3956472900 is a wasteful number, since it uses less digits than its factorization.

3956472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3956472900 is about 62900.4999980127. The cubic root of 3956472900 is about 1581.6221256489.

The spelling of 3956472900 in words is "three billion, nine hundred fifty-six million, four hundred seventy-two thousand, nine hundred".