3812920128900 has 81 divisors (see below), whose sum is σ = 11951569934031. Its totient is φ = 1016763079680.

The previous prime is 3812920128833. The next prime is 3812920128917. The reversal of 3812920128900 is 98210292183.

It is a happy number.

The square root of 3812920128900 is 1952670.

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

3812920128900 is a `hidden beast` number, since 3 + 81 + 292 + 0 + 1 + 289 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1147850818884 + 2665069310016 = 1071378^2 + 1632504^2 .

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 26 ways as a sum of consecutive naturals, for example, 58547556 + ... + 58612644.

Almost surely, 2^{3812920128900} is an apocalyptic number.

3812920128900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3812920128900 is the 1952670-th square number.

It is an amenable number.

3812920128900 is an abundant number, since it is smaller than the sum of its proper divisors (8138649805131).

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

3812920128900 is an frugal number, since it uses more digits than its factorization.

3812920128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130198 (or 65099 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 3812920128900 in words is "three trillion, eight hundred twelve billion, nine hundred twenty million, one hundred twenty-eight thousand, nine hundred".