3742974144 has 336 divisors, whose sum is σ = 13624803840. Its totient is φ = 986618880.

The previous prime is 3742974139. The next prime is 3742974199. The reversal of 3742974144 is 4414792473.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3742974144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2043309 + ... + 2045139.

Almost surely, 2^3742974144 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 3742974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812401920).

3742974144 is an abundant number, since it is smaller than the sum of its proper divisors (9881829696).

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

3742974144 is a wasteful number, since it uses less digits than its factorization.

3742974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1856 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3742974144 is about 61179.8508007334. The cubic root of 3742974144 is about 1552.6453811439.

The spelling of 3742974144 in words is "three billion, seven hundred forty-two million, nine hundred seventy-four thousand, one hundred forty-four".