3743926272 has 144 divisors (see below), whose sum is σ = 11215123920. Its totient is φ = 1247809536.

The previous prime is 3743926271. The next prime is 3743926309. The reversal of 3743926272 is 2726293473.

3743926272 is a `hidden beast` number, since 374 + 3 + 9 + 2 + 6 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3743926271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493903 + ... + 501425.

It is an arithmetic number, because the mean of its divisors is an integer number (77882805).

Almost surely, 2^3743926272 is an apocalyptic number.

3743926272 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 3743926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607561960).

3743926272 is an abundant number, since it is smaller than the sum of its proper divisors (7471197648).

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

3743926272 is an frugal number, since it uses more digits than its factorization.

3743926272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7528 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 3743926272 is about 61187.6316913802. The cubic root of 3743926272 is about 1552.7770226098. Note that the first 3 decimals are identical.

The spelling of 3743926272 in words is "three billion, seven hundred forty-three million, nine hundred twenty-six thousand, two hundred seventy-two".