380052288 has 504 divisors, whose sum is σ = 1475597760. Its totient is φ = 91238400.

The previous prime is 380052287. The next prime is 380052301. The reversal of 380052288 is 882250083.

380052288 = 34³ + 35³ + ... + 197³.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×380052288² = 288879483228069888, which contains 22 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 not an unprimeable number, because it can be changed into a prime (380052287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9269548 + ... + 9269588.

Almost surely, 2^380052288 is an apocalyptic number.

380052288 is a gapful number since it is divisible by the number (38) 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 380052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737798880).

380052288 is an abundant number, since it is smaller than the sum of its proper divisors (1095545472).

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

380052288 is a wasteful number, since it uses less digits than its factorization.

380052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 380052288 is about 19494.9298023871. The cubic root of 380052288 is about 724.3488647647.

The spelling of 380052288 in words is "three hundred eighty million, fifty-two thousand, two hundred eighty-eight".