3764814720 has 128 divisors (see below), whose sum is σ = 12227099040. Its totient is φ = 984981504.

The previous prime is 3764814719. The next prime is 3764814751. The reversal of 3764814720 is 274184673.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83262 + ... + 120258.

Almost surely, 2^3764814720 is an apocalyptic number.

3764814720 is a gapful number since it is divisible by the number (30) 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 3764814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113549520).

3764814720 is an abundant number, since it is smaller than the sum of its proper divisors (8462284320).

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

3764814720 is a wasteful number, since it uses less digits than its factorization.

3764814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37072 (or 37060 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 3764814720 is about 61358.0860196926. The cubic root of 3764814720 is about 1555.6594660141.

The spelling of 3764814720 in words is "three billion, seven hundred sixty-four million, eight hundred fourteen thousand, seven hundred twenty".