3837584674 has 128 divisors (see below), whose sum is σ = 7823278080. Its totient is φ = 1368057600.

The previous prime is 3837584671. The next prime is 3837584693. The reversal of 3837584674 is 4764857383.

3837584674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3837584674² = 29454112260239372552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3837584671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7337377 + ... + 7337899.

It is an arithmetic number, because the mean of its divisors is an integer number (61119360).

Almost surely, 2^3837584674 is an apocalyptic number.

3837584674 is an abundant number, since it is smaller than the sum of its proper divisors (3985693406).

3837584674 is a wasteful number, since it uses less digits than its factorization.

3837584674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its digits is 13547520, while the sum is 55.

The square root of 3837584674 is about 61948.2418959570. The cubic root of 3837584674 is about 1565.6186653284.

The spelling of 3837584674 in words is "three billion, eight hundred thirty-seven million, five hundred eighty-four thousand, six hundred seventy-four".