380661120 has 320 divisors, whose sum is σ = 1555092000. Its totient is φ = 86925312.

The previous prime is 380661119. The next prime is 380661133. The reversal of 380661120 is 21166083.

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 (27).

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, 362356 + ... + 363404.

Almost surely, 2^380661120 is an apocalyptic number.

380661120 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 380661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777546000).

380661120 is an abundant number, since it is smaller than the sum of its proper divisors (1174430880).

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

380661120 is a wasteful number, since it uses less digits than its factorization.

380661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 380661120 is about 19510.5386906666. The cubic root of 380661120 is about 724.7354532231.

The spelling of 380661120 in words is "three hundred eighty million, six hundred sixty-one thousand, one hundred twenty".