3057681900 has 288 divisors, whose sum is σ = 11242835968. Its totient is φ = 624153600.

The previous prime is 3057681871. The next prime is 3057681901. The reversal of 3057681900 is 91867503.

It is a super-2 number, since 2×3057681900² = 18698837203175220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3057681901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 844494 + ... + 848106.

Almost surely, 2^3057681900 is an apocalyptic number.

3057681900 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 3057681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621417984).

3057681900 is an abundant number, since it is smaller than the sum of its proper divisors (8185154068).

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

3057681900 is a wasteful number, since it uses less digits than its factorization.

3057681900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 3057681900 is about 55296.3100034713. The cubic root of 3057681900 is about 1451.4344741946.

The spelling of 3057681900 in words is "three billion, fifty-seven million, six hundred eighty-one thousand, nine hundred".