3658347840 has 336 divisors, whose sum is σ = 13689006912. Its totient is φ = 825237504.

The previous prime is 3658347839. The next prime is 3658347859. The reversal of 3658347840 is 487438563.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3658347840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3903852 + ... + 3904788.

It is an arithmetic number, because the mean of its divisors is an integer number (40741092).

Almost surely, 2^3658347840 is an apocalyptic number.

3658347840 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 3658347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844503456).

3658347840 is an abundant number, since it is smaller than the sum of its proper divisors (10030659072).

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

3658347840 is a wasteful number, since it uses less digits than its factorization.

3658347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 3658347840 is about 60484.2776265039. The cubic root of 3658347840 is about 1540.8546220590.

The spelling of 3658347840 in words is "three billion, six hundred fifty-eight million, three hundred forty-seven thousand, eight hundred forty".