377081964900 has 135 divisors (see below), whose sum is σ = 1222529937321. Its totient is φ = 100540452960.

The previous prime is 377081964893. The next prime is 377081965027. The reversal of 377081964900 is 9469180773.

It is a happy number.

The square root of 377081964900 is 614070.

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

377081964900 is a `hidden beast` number, since 3 + 7 + 70 + 81 + 9 + 6 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135749507364 + 241332457536 = 368442^2 + 491256^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55262889 + ... + 55269711.

Almost surely, 2^377081964900 is an apocalyptic number.

377081964900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

377081964900 is the 614070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377081964900

377081964900 is an abundant number, since it is smaller than the sum of its proper divisors (845447972421).

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

377081964900 is an frugal number, since it uses more digits than its factorization.

377081964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13672 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 377081964900 in words is "three hundred seventy-seven billion, eighty-one million, nine hundred sixty-four thousand, nine hundred".