3706307340 has 192 divisors, whose sum is σ = 10939622400. Its totient is φ = 936714240.

The previous prime is 3706307327. The next prime is 3706307359. The reversal of 3706307340 is 437036073.

3706307340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18624561 + ... + 18624759.

It is an arithmetic number, because the mean of its divisors is an integer number (56977200).

Almost surely, 2^3706307340 is an apocalyptic number.

3706307340 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 3706307340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469811200).

3706307340 is an abundant number, since it is smaller than the sum of its proper divisors (7233315060).

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

3706307340 is a wasteful number, since it uses less digits than its factorization.

3706307340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 33.

The square root of 3706307340 is about 60879.4492419240. The cubic root of 3706307340 is about 1547.5587432235.

The spelling of 3706307340 in words is "three billion, seven hundred six million, three hundred seven thousand, three hundred forty".