3744988667 has 32 divisors (see below), whose sum is σ = 4672805760. Its totient is φ = 2928107520.

The previous prime is 3744988603. The next prime is 3744988669. The reversal of 3744988667 is 7668894473.

3744988667 = T₁₅₃ + T₁₅₄ + ... + T₂₈₂₁.

It is a cyclic number.

It is not a de Polignac number, because 3744988667 - 2⁶ = 3744988603 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (3744988669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763559 + ... + 768447.

It is an arithmetic number, because the mean of its divisors is an integer number (146025180).

Almost surely, 2^3744988667 is an apocalyptic number.

3744988667 is a deficient number, since it is larger than the sum of its proper divisors (927817093).

3744988667 is a wasteful number, since it uses less digits than its factorization.

3744988667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111.

The product of its digits is 48771072, while the sum is 62.

The square root of 3744988667 is about 61196.3125277986. The cubic root of 3744988667 is about 1552.9238832770.

The spelling of 3744988667 in words is "three billion, seven hundred forty-four million, nine hundred eighty-eight thousand, six hundred sixty-seven".