3818340624 has 320 divisors, whose sum is σ = 12702044160. Its totient is φ = 962150400.

The previous prime is 3818340601. The next prime is 3818340661. The reversal of 3818340624 is 4260438183.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16387612 + ... + 16387844.

It is an arithmetic number, because the mean of its divisors is an integer number (39693888).

Almost surely, 2^3818340624 is an apocalyptic number.

3818340624 is a gapful number since it is divisible by the number (34) 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 3818340624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351022080).

3818340624 is an abundant number, since it is smaller than the sum of its proper divisors (8883703536).

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

3818340624 is a wasteful number, since it uses less digits than its factorization.

3818340624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3818340624 is about 61792.7230667172. The cubic root of 3818340624 is about 1562.9972815817.

The spelling of 3818340624 in words is "three billion, eight hundred eighteen million, three hundred forty thousand, six hundred twenty-four".