381674462400 has 3024 divisors, whose sum is σ = 1890732596480. Its totient is φ = 73903104000.

The previous prime is 381674462399. The next prime is 381674462431. The reversal of 381674462400 is 4264476183.

381674462400 is a `hidden beast` number, since 3 + 8 + 16 + 7 + 4 + 4 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6256958370 + ... + 6256958430.

Almost surely, 2^381674462400 is an apocalyptic number.

381674462400 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 381674462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945366298240).

381674462400 is an abundant number, since it is smaller than the sum of its proper divisors (1509058134080).

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

381674462400 is a wasteful number, since it uses less digits than its factorization.

381674462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 381674462400 in words is "three hundred eighty-one billion, six hundred seventy-four million, four hundred sixty-two thousand, four hundred".