383964672 has 320 divisors, whose sum is σ = 1308916224. Its totient is φ = 97320960.

The previous prime is 383964641. The next prime is 383964689. The reversal of 383964672 is 276469383.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5730783 + ... + 5730849.

Almost surely, 2^383964672 is an apocalyptic number.

383964672 is a gapful number since it is divisible by the number (32) 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 383964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654458112).

383964672 is an abundant number, since it is smaller than the sum of its proper divisors (924951552).

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

383964672 is a wasteful number, since it uses less digits than its factorization.

383964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 383964672 is about 19595.0165093066. The cubic root of 383964672 is about 726.8259464367.

The spelling of 383964672 in words is "three hundred eighty-three million, nine hundred sixty-four thousand, six hundred seventy-two".