3793246464 has 144 divisors (see below), whose sum is σ = 11756368512. Its totient is φ = 1063256064.

The previous prime is 3793246453. The next prime is 3793246493. The reversal of 3793246464 is 4646423973.

It is a super-3 number, since 3×3793246464³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278272 + ... + 291584.

It is an arithmetic number, because the mean of its divisors is an integer number (81641448).

Almost surely, 2^3793246464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3793246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878184256).

3793246464 is an abundant number, since it is smaller than the sum of its proper divisors (7963122048).

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

3793246464 is a wasteful number, since it uses less digits than its factorization.

3793246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13378 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 48.

The square root of 3793246464 is about 61589.3372589769. The cubic root of 3793246464 is about 1559.5657436903.

The spelling of 3793246464 in words is "three billion, seven hundred ninety-three million, two hundred forty-six thousand, four hundred sixty-four".