3731412672 has 168 divisors, whose sum is σ = 11582887680. Its totient is φ = 1141678080.

The previous prime is 3731412661. The next prime is 3731412683. The reversal of 3731412672 is 2762141373.

3731412672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3731412661) and next prime (3731412683).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428904 + ... + 1431512.

It is an arithmetic number, because the mean of its divisors is an integer number (68945760).

Almost surely, 2^3731412672 is an apocalyptic number.

3731412672 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 3731412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791443840).

3731412672 is an abundant number, since it is smaller than the sum of its proper divisors (7851475008).

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

3731412672 is a wasteful number, since it uses less digits than its factorization.

3731412672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2818 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3731412672 is about 61085.2901441910. The cubic root of 3731412672 is about 1551.0451046722.

The spelling of 3731412672 in words is "three billion, seven hundred thirty-one million, four hundred twelve thousand, six hundred seventy-two".