390684349440 has 2112 divisors, whose sum is σ = 1853312532480. Its totient is φ = 75804180480.

The previous prime is 390684349417. The next prime is 390684349453. The reversal of 390684349440 is 44943486093.

390684349440 is a `hidden beast` number, since 3 + 90 + 6 + 84 + 34 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 3076254657 + ... + 3076254783.

Almost surely, 2^390684349440 is an apocalyptic number.

390684349440 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 390684349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926656266240).

390684349440 is an abundant number, since it is smaller than the sum of its proper divisors (1462628183040).

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

390684349440 is a wasteful number, since it uses less digits than its factorization.

390684349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 390684349440 in words is "three hundred ninety billion, six hundred eighty-four million, three hundred forty-nine thousand, four hundred forty".