3658346400 has 144 divisors (see below), whose sum is σ = 11928549024. Its totient is φ = 973870080.

The previous prime is 3658346383. The next prime is 3658346407. The reversal of 3658346400 is 46438563.

It is not an unprimeable number, because it can be changed into a prime (3658346407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046307 + ... + 2048093.

It is an arithmetic number, because the mean of its divisors is an integer number (82837146).

Almost surely, 2^3658346400 is an apocalyptic number.

3658346400 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 3658346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964274512).

3658346400 is an abundant number, since it is smaller than the sum of its proper divisors (8270202624).

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

3658346400 is a wasteful number, since it uses less digits than its factorization.

3658346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3658346400 is about 60484.2657225828. The cubic root of 3658346400 is about 1540.8544198884.

The spelling of 3658346400 in words is "three billion, six hundred fifty-eight million, three hundred forty-six thousand, four hundred".