3743494272 has 256 divisors, whose sum is σ = 12695654400. Its totient is φ = 1063756800.

The previous prime is 3743494259. The next prime is 3743494289. The reversal of 3743494272 is 2724943473.

3743494272 is a `hidden beast` number, since 37 + 4 + 349 + 4 + 272 = 666.

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

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, 6555747 + ... + 6556317.

It is an arithmetic number, because the mean of its divisors is an integer number (49592400).

Almost surely, 2^3743494272 is an apocalyptic number.

3743494272 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 3743494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347827200).

3743494272 is an abundant number, since it is smaller than the sum of its proper divisors (8952160128).

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

3743494272 is a wasteful number, since it uses less digits than its factorization.

3743494272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 854 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 3743494272 is about 61184.1014643510. The cubic root of 3743494272 is about 1552.7172969433.

The spelling of 3743494272 in words is "three billion, seven hundred forty-three million, four hundred ninety-four thousand, two hundred seventy-two".