381654072 has 64 divisors (see below), whose sum is σ = 1072116000. Its totient is φ = 125782272.

The previous prime is 381654061. The next prime is 381654079. The reversal of 381654072 is 270456183.

381654072 is a `hidden beast` number, since 38 + 16 + 540 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381654079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9298 + ... + 29150.

Almost surely, 2^381654072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381654072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536058000).

381654072 is an abundant number, since it is smaller than the sum of its proper divisors (690461928).

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

381654072 is a wasteful number, since it uses less digits than its factorization.

381654072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19957 (or 19947 counting only the distinct ones).

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

The square root of 381654072 is about 19535.9686731936. The cubic root of 381654072 is about 725.3650619666.

The spelling of 381654072 in words is "three hundred eighty-one million, six hundred fifty-four thousand, seventy-two".