3680407740 has 96 divisors (see below), whose sum is σ = 10424816640. Its totient is φ = 970095616.

The previous prime is 3680407739. The next prime is 3680407789. The reversal of 3680407740 is 477040863.

It is a happy number.

It is a super-2 number, since 2×3680407740² = 27090802265303815200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4386241 + ... + 4387079.

It is an arithmetic number, because the mean of its divisors is an integer number (108591840).

Almost surely, 2^3680407740 is an apocalyptic number.

3680407740 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 3680407740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212408320).

3680407740 is an abundant number, since it is smaller than the sum of its proper divisors (6744408900).

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

3680407740 is a wasteful number, since it uses less digits than its factorization.

3680407740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 3680407740 is about 60666.3641567549. The cubic root of 3680407740 is about 1543.9455441567.

The spelling of 3680407740 in words is "three billion, six hundred eighty million, four hundred seven thousand, seven hundred forty".