385631977920 has 224 divisors, whose sum is σ = 1408688064000. Its totient is φ = 87552651264.

The previous prime is 385631977903. The next prime is 385631977937. The reversal of 385631977920 is 29779136583.

It is an interprime number because it is at equal distance from previous prime (385631977903) and next prime (385631977937).

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (60) 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 (60).

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, 808711 + ... + 1193849.

It is an arithmetic number, because the mean of its divisors is an integer number (6288786000).

Almost surely, 2^385631977920 is an apocalyptic number.

385631977920 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 385631977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704344032000).

385631977920 is an abundant number, since it is smaller than the sum of its proper divisors (1023056086080).

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

385631977920 is a wasteful number, since it uses less digits than its factorization.

385631977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385315 (or 385305 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 385631977920 in words is "three hundred eighty-five billion, six hundred thirty-one million, nine hundred seventy-seven thousand, nine hundred twenty".