3742417536 has 512 divisors, whose sum is σ = 13078195200. Its totient is φ = 928972800.

The previous prime is 3742417493. The next prime is 3742417573. The reversal of 3742417536 is 6357142473.

It is a super-2 number, since 2×3742417536² = 28011378027520622592, which contains 22 as substring.

Its product of digits (423360) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17736471 + ... + 17736681.

It is an arithmetic number, because the mean of its divisors is an integer number (25543350).

Almost surely, 2^3742417536 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 3742417536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539097600).

3742417536 is an abundant number, since it is smaller than the sum of its proper divisors (9335777664).

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

3742417536 is a wasteful number, since it uses less digits than its factorization.

3742417536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 3742417536 is about 61175.3016829504. The cubic root of 3742417536 is about 1552.5684140362.

The spelling of 3742417536 in words is "three billion, seven hundred forty-two million, four hundred seventeen thousand, five hundred thirty-six".