381697920 has 320 divisors, whose sum is σ = 1406988000. Its totient is φ = 98537472.

The previous prime is 381697909. The next prime is 381698017. The reversal of 381697920 is 29796183.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 1917981 + ... + 1918179.

Almost surely, 2^381697920 is an apocalyptic number.

381697920 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 381697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703494000).

381697920 is an abundant number, since it is smaller than the sum of its proper divisors (1025290080).

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

381697920 is a wasteful number, since it uses less digits than its factorization.

381697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 381697920 is about 19537.0908786339. The cubic root of 381697920 is about 725.3928398171.

The spelling of 381697920 in words is "three hundred eighty-one million, six hundred ninety-seven thousand, nine hundred twenty".