390905343360 has 1024 divisors, whose sum is σ = 1710897408000. Its totient is φ = 82341494784.

The previous prime is 390905343329. The next prime is 390905343373. The reversal of 390905343360 is 63343509093.

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 127 ways as a sum of consecutive naturals, for example, 85032582 + ... + 85037178.

It is an arithmetic number, because the mean of its divisors is an integer number (1670798250).

Almost surely, 2^390905343360 is an apocalyptic number.

390905343360 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 390905343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855448704000).

390905343360 is an abundant number, since it is smaller than the sum of its proper divisors (1319992064640).

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

390905343360 is a wasteful number, since it uses less digits than its factorization.

390905343360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 45.

The spelling of 390905343360 in words is "three hundred ninety billion, nine hundred five million, three hundred forty-three thousand, three hundred sixty".