3789757692900 has 81 divisors (see below), whose sum is σ = 11878968006633. Its totient is φ = 1010586477600.

The previous prime is 3789757692883. The next prime is 3789757692907. The reversal of 3789757692900 is 92967579873.

The square root of 3789757692900 is 1946730.

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., 1364312769444 + 2425444923456 = 1168038^2 + 1557384^2 .

It is not an unprimeable number, because it can be changed into a prime (3789757692907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58369455 + ... + 58434345.

Almost surely, 2^{3789757692900} is an apocalyptic number.

3789757692900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3789757692900 is the 1946730-th square number.

It is an amenable number.

3789757692900 is an abundant number, since it is smaller than the sum of its proper divisors (8089210313733).

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

3789757692900 is an frugal number, since it uses more digits than its factorization.

3789757692900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129802 (or 64901 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 3789757692900 in words is "three trillion, seven hundred eighty-nine billion, seven hundred fifty-seven million, six hundred ninety-two thousand, nine hundred".