385762590720 has 1080 divisors, whose sum is σ = 1532422966536. Its totient is φ = 92748644352.

The previous prime is 385762590701. The next prime is 385762590737. The reversal of 385762590720 is 27095267583.

385762590720 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 625 + 9 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8971223019 + ... + 8971223061.

Almost surely, 2^385762590720 is an apocalyptic number.

385762590720 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 385762590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766211483268).

385762590720 is an abundant number, since it is smaller than the sum of its proper divisors (1146660375816).

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

385762590720 is an frugal number, since it uses more digits than its factorization.

385762590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 385762590720 in words is "three hundred eighty-five billion, seven hundred sixty-two million, five hundred ninety thousand, seven hundred twenty".