4076900352 has 468 divisors, whose sum is σ = 14299815036. Its totient is φ = 1114767360.

The previous prime is 4076900329. The next prime is 4076900369. The reversal of 4076900352 is 2530096704.

It can be written as a sum of positive squares in 2 ways, for example, as 1735888896 + 2341011456 = 41664^2 + 48384^2 .

It is a super-2 number, since 2×4076900352² = 33242232960275447808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66834402 + ... + 66834462.

Almost surely, 2^4076900352 is an apocalyptic number.

4076900352 is a gapful number since it is divisible by the number (42) 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 4076900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149907518).

4076900352 is an abundant number, since it is smaller than the sum of its proper divisors (10222914684).

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

4076900352 is a wasteful number, since it uses less digits than its factorization.

4076900352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4076900352 is about 63850.6096447011. The cubic root of 4076900352 is about 1597.5091910982.

The spelling of 4076900352 in words is "four billion, seventy-six million, nine hundred thousand, three hundred fifty-two".