3744463464 has 240 divisors, whose sum is σ = 12399789600. Its totient is φ = 1034130240.

The previous prime is 3744463453. The next prime is 3744463483. The reversal of 3744463464 is 4643644473.

It is a happy number.

3744463464 is a `hidden beast` number, since 3 + 7 + 4 + 4 + 4 + 634 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4358667 + ... + 4359525.

It is an arithmetic number, because the mean of its divisors is an integer number (51665790).

Almost surely, 2^3744463464 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 3744463464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199894800).

3744463464 is an abundant number, since it is smaller than the sum of its proper divisors (8655326136).

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

3744463464 is a wasteful number, since it uses less digits than its factorization.

3744463464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 902 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 45.

The square root of 3744463464 is about 61192.0212446035. The cubic root of 3744463464 is about 1552.8512850678.

The spelling of 3744463464 in words is "three billion, seven hundred forty-four million, four hundred sixty-three thousand, four hundred sixty-four".