379656833400 has 576 divisors, whose sum is σ = 1498939478400. Its totient is φ = 88532559360.

The previous prime is 379656833393. The next prime is 379656833429. The reversal of 379656833400 is 4338656973.

379656833400 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 568 + 33 + 40 + 0 = 666.

It is a super-2 number, since 2×379656833400² (a number of 24 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11988387 + ... + 12020013.

Almost surely, 2^379656833400 is an apocalyptic number.

379656833400 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 379656833400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749469739200).

379656833400 is an abundant number, since it is smaller than the sum of its proper divisors (1119282645000).

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

379656833400 is a wasteful number, since it uses less digits than its factorization.

379656833400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31690 (or 31669 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 379656833400 in words is "three hundred seventy-nine billion, six hundred fifty-six million, eight hundred thirty-three thousand, four hundred".