3793474944 has 576 divisors, whose sum is σ = 13967553600. Its totient is φ = 1018967040.

The previous prime is 3793474907. The next prime is 3793474957. The reversal of 3793474944 is 4494743973.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9144576) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28957759 + ... + 28957889.

It is an arithmetic number, because the mean of its divisors is an integer number (24249225).

Almost surely, 2^3793474944 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 3793474944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983776800).

3793474944 is an abundant number, since it is smaller than the sum of its proper divisors (10174078656).

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

3793474944 is a wasteful number, since it uses less digits than its factorization.

3793474944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 3793474944 is about 61591.1920975719. The cubic root of 3793474944 is about 1559.5970556927.

The spelling of 3793474944 in words is "three billion, seven hundred ninety-three million, four hundred seventy-four thousand, nine hundred forty-four".