3918645900 has 216 divisors, whose sum is σ = 13536963440. Its totient is φ = 942036480.

The previous prime is 3918645859. The next prime is 3918645901. The reversal of 3918645900 is 95468193.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3918645901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499206 + ... + 506994.

Almost surely, 2^3918645900 is an apocalyptic number.

3918645900 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 3918645900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768481720).

3918645900 is an abundant number, since it is smaller than the sum of its proper divisors (9618317540).

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

3918645900 is a wasteful number, since it uses less digits than its factorization.

3918645900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3918645900 is about 62599.0886515131. The cubic root of 3918645900 is about 1576.5654578722.

The spelling of 3918645900 in words is "three billion, nine hundred eighteen million, six hundred forty-five thousand, nine hundred".