390738203100 has 288 divisors, whose sum is σ = 1436893032960. Its totient is φ = 89231224320.

The previous prime is 390738203059. The next prime is 390738203117. The reversal of 390738203100 is 1302837093.

It is a happy number.

It is a super-2 number, since 2×390738203100² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 22425592 + ... + 22443008.

It is an arithmetic number, because the mean of its divisors is an integer number (4989211920).

Almost surely, 2^390738203100 is an apocalyptic number.

390738203100 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 390738203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718446516480).

390738203100 is an abundant number, since it is smaller than the sum of its proper divisors (1046154829860).

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

390738203100 is a wasteful number, since it uses less digits than its factorization.

390738203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18634 (or 18621 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 390738203100 in words is "three hundred ninety billion, seven hundred thirty-eight million, two hundred three thousand, one hundred".