381540672 has 112 divisors (see below), whose sum is σ = 1180795200. Its totient is φ = 120476160.

The previous prime is 381540667. The next prime is 381540697. The reversal of 381540672 is 276045183.

It is a super-3 number, since 3×381540672³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27022 + ... + 38642.

Almost surely, 2^381540672 is an apocalyptic number.

381540672 is a gapful number since it is divisible by the number (32) 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 381540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590397600).

381540672 is an abundant number, since it is smaller than the sum of its proper divisors (799254528).

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

381540672 is a wasteful number, since it uses less digits than its factorization.

381540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 381540672 is about 19533.0661187638. The cubic root of 381540672 is about 725.2932128303.

The spelling of 381540672 in words is "three hundred eighty-one million, five hundred forty thousand, six hundred seventy-two".