390620936160 has 2304 divisors, whose sum is σ = 1868744908800. Its totient is φ = 75246796800.

The previous prime is 390620936107. The next prime is 390620936171. The reversal of 390620936160 is 61639026093.

It is a happy number.

390620936160 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 20 + 9 + 3 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1620833640 + ... + 1620833880.

It is an arithmetic number, because the mean of its divisors is an integer number (811087200).

Almost surely, 2^390620936160 is an apocalyptic number.

390620936160 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 390620936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934372454400).

390620936160 is an abundant number, since it is smaller than the sum of its proper divisors (1478123972640).

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

390620936160 is a wasteful number, since it uses less digits than its factorization.

390620936160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 390620936160 in words is "three hundred ninety billion, six hundred twenty million, nine hundred thirty-six thousand, one hundred sixty".