379985944900 has 27 divisors (see below), whose sum is σ = 824582877181. Its totient is φ = 151991912240.

The previous prime is 379985944879. The next prime is 379985944903. The reversal of 379985944900 is 9449589973.

The square root of 379985944900 is 616430.

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., 136794940164 + 243191004736 = 369858^2 + 493144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379985944903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6133479 + ... + 6195121.

Almost surely, 2^379985944900 is an apocalyptic number.

379985944900 is the 616430-th square number.

It is an amenable number.

379985944900 is an abundant number, since it is smaller than the sum of its proper divisors (444596932281).

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

379985944900 is an frugal number, since it uses more digits than its factorization.

379985944900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123300 (or 61650 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 379985944900 in words is "three hundred seventy-nine billion, nine hundred eighty-five million, nine hundred forty-four thousand, nine hundred".