390306042720 has 480 divisors, whose sum is σ = 1505446145280. Its totient is φ = 94445429760.

The previous prime is 390306042713. The next prime is 390306042767. The reversal of 390306042720 is 27240603093.

It is a happy number.

390306042720 is a `hidden beast` number, since 3 + 9 + 0 + 3 + 0 + 604 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88242429 + ... + 88246851.

It is an arithmetic number, because the mean of its divisors is an integer number (3136346136).

Almost surely, 2^390306042720 is an apocalyptic number.

390306042720 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 390306042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752723072640).

390306042720 is an abundant number, since it is smaller than the sum of its proper divisors (1115140102560).

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

390306042720 is a wasteful number, since it uses less digits than its factorization.

390306042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 390306042720 in words is "three hundred ninety billion, three hundred six million, forty-two thousand, seven hundred twenty".