3732406272 has 240 divisors, whose sum is σ = 12431905200. Its totient is φ = 1056964608.

The previous prime is 3732406247. The next prime is 3732406367. The reversal of 3732406272 is 2726042373.

3732406272 is a `hidden beast` number, since 3 + 7 + 3 + 24 + 0 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33030088 + ... + 33030200.

It is an arithmetic number, because the mean of its divisors is an integer number (51799605).

Almost surely, 2^3732406272 is an apocalyptic number.

3732406272 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 3732406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215952600).

3732406272 is an abundant number, since it is smaller than the sum of its proper divisors (8699498928).

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

3732406272 is an frugal number, since it uses more digits than its factorization.

3732406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3732406272 is about 61093.4224937513. The cubic root of 3732406272 is about 1551.1827631394.

The spelling of 3732406272 in words is "three billion, seven hundred thirty-two million, four hundred six thousand, two hundred seventy-two".