3076920900 has 135 divisors (see below), whose sum is σ = 9874067021. Its totient is φ = 801430560.

The previous prime is 3076920871. The next prime is 3076920901. The reversal of 3076920900 is 90296703.

The square root of 3076920900 is 55470.

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., 1107691524 + 1969229376 = 33282^2 + 44376^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3076920901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71556279 + ... + 71556321.

Almost surely, 2^3076920900 is an apocalyptic number.

3076920900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3076920900 is the 55470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3076920900

3076920900 is an abundant number, since it is smaller than the sum of its proper divisors (6797146121).

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

3076920900 is an frugal number, since it uses more digits than its factorization.

3076920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The cubic root of 3076920900 is about 1454.4722640611.

Multiplying 3076920900 by its sum of digits (36), we get a square (110769152400 = 332820²).

3076920900 divided by its sum of digits (36) gives a square (85470025 = 9245²).

The spelling of 3076920900 in words is "three billion, seventy-six million, nine hundred twenty thousand, nine hundred".