3706931340 has 144 divisors (see below), whose sum is σ = 13113172800. Its totient is φ = 847284480.

The previous prime is 3706931329. The next prime is 3706931359. The reversal of 3706931340 is 431396073.

3706931340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3706931295 and 3706931304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31720 + ... + 91760.

It is an arithmetic number, because the mean of its divisors is an integer number (91063700).

Almost surely, 2^3706931340 is an apocalyptic number.

3706931340 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 3706931340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556586400).

3706931340 is an abundant number, since it is smaller than the sum of its proper divisors (9406241460).

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

3706931340 is a wasteful number, since it uses less digits than its factorization.

3706931340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60077 (or 60058 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3706931340 is about 60884.5739083390. The cubic root of 3706931340 is about 1547.6455881950.

The spelling of 3706931340 in words is "three billion, seven hundred six million, nine hundred thirty-one thousand, three hundred forty".