3742609968 has 160 divisors (see below), whose sum is σ = 11366931200. Its totient is φ = 1175731200.

The previous prime is 3742609951. The next prime is 3742610029. The reversal of 3742609968 is 8699062473.

It is a happy number.

3742609968 is a `hidden beast` number, since 374 + 260 + 9 + 9 + 6 + 8 = 666.

3742609968 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 2×3742609968² = 28014258745145922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1730808 + ... + 1732968.

It is an arithmetic number, because the mean of its divisors is an integer number (71043320).

Almost surely, 2^3742609968 is an apocalyptic number.

3742609968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742609968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683465600).

3742609968 is an abundant number, since it is smaller than the sum of its proper divisors (7624321232).

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

3742609968 is a wasteful number, since it uses less digits than its factorization.

3742609968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3742609968 is about 61176.8744543230. The cubic root of 3742609968 is about 1552.5950241727.

The spelling of 3742609968 in words is "three billion, seven hundred forty-two million, six hundred nine thousand, nine hundred sixty-eight".