3747381264 has 240 divisors, whose sum is σ = 12179756160. Its totient is φ = 1062973440.

The previous prime is 3747381259. The next prime is 3747381269. The reversal of 3747381264 is 4621837473.

3747381264 is a `hidden beast` number, since 3 + 7 + 4 + 7 + 381 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (3747381259) and next prime (3747381269).

It is not an unprimeable number, because it can be changed into a prime (3747381269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8535957 + ... + 8536395.

It is an arithmetic number, because the mean of its divisors is an integer number (50748984).

Almost surely, 2^3747381264 is an apocalyptic number.

3747381264 is a gapful number since it is divisible by the number (34) 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 3747381264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089878080).

3747381264 is an abundant number, since it is smaller than the sum of its proper divisors (8432374896).

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

3747381264 is a wasteful number, since it uses less digits than its factorization.

3747381264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3747381264 is about 61215.8579454703. The cubic root of 3747381264 is about 1553.2545233562.

The spelling of 3747381264 in words is "three billion, seven hundred forty-seven million, three hundred eighty-one thousand, two hundred sixty-four".