379549749600 has 432 divisors, whose sum is σ = 1582335911520. Its totient is φ = 83762380800.

The previous prime is 379549749587. The next prime is 379549749661. The reversal of 379549749600 is 6947945973.

379549749600 is a `hidden beast` number, since 3 + 7 + 9 + 54 + 97 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1331760 + ... + 1591440.

It is an arithmetic number, because the mean of its divisors is an integer number (3662814610).

Almost surely, 2^379549749600 is an apocalyptic number.

379549749600 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 379549749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791167955760).

379549749600 is an abundant number, since it is smaller than the sum of its proper divisors (1202786161920).

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

379549749600 is a wasteful number, since it uses less digits than its factorization.

379549749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259743 (or 259727 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 379549749600 in words is "three hundred seventy-nine billion, five hundred forty-nine million, seven hundred forty-nine thousand, six hundred".