390348951552 has 416 divisors, whose sum is σ = 1325447961600. Its totient is φ = 111208660992.

The previous prime is 390348951539. The next prime is 390348951607. The reversal of 390348951552 is 255159843093.

390348951552 is a `hidden beast` number, since 3 + 9 + 0 + 3 + 4 + 89 + 5 + 1 + 552 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454422099 + ... + 454422957.

Almost surely, 2^390348951552 is an apocalyptic number.

390348951552 is a gapful number since it is divisible by the number (32) 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 390348951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662723980800).

390348951552 is an abundant number, since it is smaller than the sum of its proper divisors (935099010048).

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

390348951552 is an equidigital number, since it uses as much as digits as its factorization.

390348951552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 390348951552 in words is "three hundred ninety billion, three hundred forty-eight million, nine hundred fifty-one thousand, five hundred fifty-two".