379644675300 has 1620 divisors, whose sum is σ = 1516793895540. Its totient is φ = 81909273600.

The previous prime is 379644675259. The next prime is 379644675317. The reversal of 379644675300 is 3576446973.

It is a happy number.

379644675300 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 44 + 67 + 530 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3623076864 + 376021598436 = 60192^2 + 613206^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 10260666882 + ... + 10260666918.

Almost surely, 2^379644675300 is an apocalyptic number.

379644675300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379644675300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758396947770).

379644675300 is an abundant number, since it is smaller than the sum of its proper divisors (1137149220240).

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

379644675300 is a wasteful number, since it uses less digits than its factorization.

379644675300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 379644675300 in words is "three hundred seventy-nine billion, six hundred forty-four million, six hundred seventy-five thousand, three hundred".