380963520 has 224 divisors, whose sum is σ = 1536192000. Its totient is φ = 87063552.

The previous prime is 380963501. The next prime is 380963537. The reversal of 380963520 is 25369083.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57331 + ... + 63629.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^380963520 is an apocalyptic number.

380963520 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 380963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

380963520 is an abundant number, since it is smaller than the sum of its proper divisors (1155228480).

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

380963520 is a wasteful number, since it uses less digits than its factorization.

380963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 380963520 is about 19518.2868100661. The cubic root of 380963520 is about 724.9273141558.

It can be divided in two parts, 38096 and 3520, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 380963520 in words is "three hundred eighty million, nine hundred sixty-three thousand, five hundred twenty".