3676405440 has 112 divisors (see below), whose sum is σ = 11756989440. Its totient is φ = 973286400.

The previous prime is 3676405427. The next prime is 3676405457. The reversal of 3676405440 is 445046763.

It is a happy number.

3676405440 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 15 ways as a sum of consecutive naturals, for example, 119665 + ... + 147215.

It is an arithmetic number, because the mean of its divisors is an integer number (104973120).

Almost surely, 2^3676405440 is an apocalyptic number.

3676405440 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 3676405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878494720).

3676405440 is an abundant number, since it is smaller than the sum of its proper divisors (8080584000).

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

3676405440 is a wasteful number, since it uses less digits than its factorization.

3676405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27710 (or 27700 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 3676405440 is about 60633.3690305924. The cubic root of 3676405440 is about 1543.3856809594.

The spelling of 3676405440 in words is "three billion, six hundred seventy-six million, four hundred five thousand, four hundred forty".