4074013584 has 135 divisors (see below), whose sum is σ = 11899904497. Its totient is φ = 1351111104.

The previous prime is 4074013579. The next prime is 4074013613. The reversal of 4074013584 is 4853104704.

The square root of 4074013584 is 63828.

It is a perfect power (a square), and thus also a powerful number.

4074013584 is a `hidden beast` number, since 4 + 0 + 74 + 0 + 1 + 3 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3991712400 + 82301184 = 63180^2 + 9072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20680174 + ... + 20680370.

Almost surely, 2^4074013584 is an apocalyptic number.

4074013584 is the 63828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074013584

4074013584 is an abundant number, since it is smaller than the sum of its proper divisors (7825890913).

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

4074013584 is an frugal number, since it uses more digits than its factorization.

4074013584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 4074013584 is about 1597.1320477694.

Multiplying 4074013584 by its sum of digits (36), we get a square (146664489024 = 382968²).

4074013584 divided by its sum of digits (36) gives a square (113167044 = 10638²).

The spelling of 4074013584 in words is "four billion, seventy-four million, thirteen thousand, five hundred eighty-four".