390134880 has 120 divisors (see below), whose sum is σ = 1376896752. Its totient is φ = 104032512.

The previous prime is 390134869. The next prime is 390134917. The reversal of 390134880 is 88431093.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×390134880² = 304410449185228800, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2092 + ... + 28011.

Almost surely, 2^390134880 is an apocalyptic number.

390134880 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 390134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688448376).

390134880 is an abundant number, since it is smaller than the sum of its proper divisors (986761872).

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

390134880 is a wasteful number, since it uses less digits than its factorization.

390134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30130 (or 30113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 390134880 is about 19751.8323200659. The cubic root of 390134880 is about 730.6985744201.

It can be divided in two parts, 3901 and 34880, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 390134880 in words is "three hundred ninety million, one hundred thirty-four thousand, eight hundred eighty".