3658405320 has 96 divisors (see below), whose sum is σ = 11937481920. Its totient is φ = 971664000.

The previous prime is 3658405319. The next prime is 3658405337. The reversal of 3658405320 is 235048563.

It is a happy number.

3658405320 is a `hidden beast` number, since 3 + 6 + 584 + 0 + 53 + 20 = 666.

3658405320 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70117 + ... + 110603.

It is an arithmetic number, because the mean of its divisors is an integer number (124348770).

Almost surely, 2^3658405320 is an apocalyptic number.

3658405320 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 3658405320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968740960).

3658405320 is an abundant number, since it is smaller than the sum of its proper divisors (8279076600).

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

3658405320 is a wasteful number, since it uses less digits than its factorization.

3658405320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40755 (or 40748 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3658405320 is about 60484.7527894427. The cubic root of 3658405320 is about 1540.8626919915.

The spelling of 3658405320 in words is "three billion, six hundred fifty-eight million, four hundred five thousand, three hundred twenty".