381714379200 has 1680 divisors, whose sum is σ = 1810994803200. Its totient is φ = 76524134400.

The previous prime is 381714379199. The next prime is 381714379237. The reversal of 381714379200 is 2973417183.

381714379200 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 1 + 437 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 289396141 + ... + 289397459.

Almost surely, 2^381714379200 is an apocalyptic number.

381714379200 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 381714379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905497401600).

381714379200 is an abundant number, since it is smaller than the sum of its proper divisors (1429280424000).

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

381714379200 is a wasteful number, since it uses less digits than its factorization.

381714379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 381714379200 in words is "three hundred eighty-one billion, seven hundred fourteen million, three hundred seventy-nine thousand, two hundred".