3741344640 has 416 divisors, whose sum is σ = 14635875960. Its totient is φ = 906992640.

The previous prime is 3741344623. The next prime is 3741344641. The reversal of 3741344640 is 464431473.

3741344640 is a `hidden beast` number, since 3 + 7 + 4 + 1 + 3 + 4 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3741344595 and 3741344604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741344641) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 340122235 + ... + 340122245.

Almost surely, 2^3741344640 is an apocalyptic number.

3741344640 is a gapful number since it is divisible by the number (30) 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 3741344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317937980).

3741344640 is an abundant number, since it is smaller than the sum of its proper divisors (10894531320).

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

3741344640 is an frugal number, since it uses more digits than its factorization.

3741344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3741344640 is about 61166.5320252832. The cubic root of 3741344640 is about 1552.4200336883.

The spelling of 3741344640 in words is "three billion, seven hundred forty-one million, three hundred forty-four thousand, six hundred forty".