381034598400 has 351 divisors, whose sum is σ = 1366909812489. Its totient is φ = 101451202560.

The previous prime is 381034598381. The next prime is 381034598411. The reversal of 381034598400 is 4895430183.

The square root of 381034598400 is 617280.

It is a perfect power (a square), and thus also a powerful number.

381034598400 is a `hidden beast` number, since 3 + 8 + 10 + 3 + 4 + 598 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137172455424 + 243862142976 = 370368^2 + 493824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 592588479 + ... + 592589121.

Almost surely, 2^381034598400 is an apocalyptic number.

381034598400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

381034598400 is the 617280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381034598400

381034598400 is an abundant number, since it is smaller than the sum of its proper divisors (985875214089).

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

381034598400 is an frugal number, since it uses more digits than its factorization.

381034598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 381034598400 in words is "three hundred eighty-one billion, thirty-four million, five hundred ninety-eight thousand, four hundred".