3741113376 has 576 divisors, whose sum is σ = 15058068480. Its totient is φ = 848517120.

The previous prime is 3741113297. The next prime is 3741113393. The reversal of 3741113376 is 6733111473.

It is a super-2 number, since 2×3741113376² = 27991858584172234752, which contains 22 as substring.

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

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 3741113376.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5477131 + ... + 5477813.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^3741113376 is an apocalyptic number.

3741113376 is a gapful number since it is divisible by the number (36) 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 3741113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3741113376 is an abundant number, since it is smaller than the sum of its proper divisors (11316955104).

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

3741113376 is a wasteful number, since it uses less digits than its factorization.

3741113376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3741113376 is about 61164.6415504906. The cubic root of 3741113376 is about 1552.3880464129.

The spelling of 3741113376 in words is "three billion, seven hundred forty-one million, one hundred thirteen thousand, three hundred seventy-six".