379339770700800 has 4752 divisors, whose sum is σ = 1759333535197056. Its totient is φ = 76027133952000.

The previous prime is 379339770700753. The next prime is 379339770700879. The reversal of 379339770700800 is 8007077933973.

379339770700800 is a `hidden beast` number, since 37 + 9 + 3 + 397 + 70 + 70 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1349963596660 + ... + 1349963596940.

Almost surely, 2^{379339770700800} is an apocalyptic number.

379339770700800 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 379339770700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879666767598528).

379339770700800 is an abundant number, since it is smaller than the sum of its proper divisors (1379993764496256).

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

379339770700800 is a wasteful number, since it uses less digits than its factorization.

379339770700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 42007896, while the sum is 63.

The spelling of 379339770700800 in words is "three hundred seventy-nine trillion, three hundred thirty-nine billion, seven hundred seventy million, seven hundred thousand, eight hundred".