383678890560 has 672 divisors, whose sum is σ = 1590921400320. Its totient is φ = 86784638976.

The previous prime is 383678890513. The next prime is 383678890589. The reversal of 383678890560 is 65098876383.

383678890560 is a `hidden beast` number, since 3 + 8 + 3 + 67 + 8 + 8 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×383678890560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 41061249 + ... + 41070591.

It is an arithmetic number, because the mean of its divisors is an integer number (2367442560).

Almost surely, 2^383678890560 is an apocalyptic number.

383678890560 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 383678890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795460700160).

383678890560 is an abundant number, since it is smaller than the sum of its proper divisors (1207242509760).

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

383678890560 is a wasteful number, since it uses less digits than its factorization.

383678890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 383678890560 in words is "three hundred eighty-three billion, six hundred seventy-eight million, eight hundred ninety thousand, five hundred sixty".