3658813440 has 416 divisors, whose sum is σ = 12908491776. Its totient is φ = 880803840.

The previous prime is 3658813439. The next prime is 3658813447. The reversal of 3658813440 is 443188563.

It is a junction number, because it is equal to n+sod(n) for n = 3658813392 and 3658813401.

It is not an unprimeable number, because it can be changed into a prime (3658813447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32378824 + ... + 32378936.

Almost surely, 2^3658813440 is an apocalyptic number.

3658813440 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 3658813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454245888).

3658813440 is an abundant number, since it is smaller than the sum of its proper divisors (9249678336).

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

3658813440 is a wasteful number, since it uses less digits than its factorization.

3658813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3658813440 is about 60488.1264381697. The cubic root of 3658813440 is about 1540.9199877660.

The spelling of 3658813440 in words is "three billion, six hundred fifty-eight million, eight hundred thirteen thousand, four hundred forty".