3734748864 has 224 divisors, whose sum is σ = 13689177600. Its totient is φ = 970030080.

The previous prime is 3734748833. The next prime is 3734748877. The reversal of 3734748864 is 4688474373.

3734748864 is a `hidden beast` number, since 37 + 3 + 474 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3734748864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119022 + ... + 147090.

It is an arithmetic number, because the mean of its divisors is an integer number (61112400).

Almost surely, 2^3734748864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844588800).

3734748864 is an abundant number, since it is smaller than the sum of its proper divisors (9954428736).

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

3734748864 is a wasteful number, since it uses less digits than its factorization.

3734748864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28108 (or 28092 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The square root of 3734748864 is about 61112.5916976199. The cubic root of 3734748864 is about 1551.5072212414.

The spelling of 3734748864 in words is "three billion, seven hundred thirty-four million, seven hundred forty-eight thousand, eight hundred sixty-four".