3993378144 has 96 divisors (see below), whose sum is σ = 12014231040. Its totient is φ = 1137718272.

The previous prime is 3993378133. The next prime is 3993378157. The reversal of 3993378144 is 4418733993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 232972 + ... + 249524.

It is an arithmetic number, because the mean of its divisors is an integer number (125148240).

Almost surely, 2^3993378144 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 3993378144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007115520).

3993378144 is an abundant number, since it is smaller than the sum of its proper divisors (8020852896).

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

3993378144 is a wasteful number, since it uses less digits than its factorization.

3993378144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16932 (or 16924 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 3993378144 is about 63193.1811511337. The cubic root of 3993378144 is about 1586.5246063837.

The spelling of 3993378144 in words is "three billion, nine hundred ninety-three million, three hundred seventy-eight thousand, one hundred forty-four".