3900218364 has 120 divisors (see below), whose sum is σ = 11850410880. Its totient is φ = 1095423264.

The previous prime is 3900218341. The next prime is 3900218401. The reversal of 3900218364 is 4638120093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119239 + ... + 148385.

It is an arithmetic number, because the mean of its divisors is an integer number (98753424).

Almost surely, 2^3900218364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900218364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925205440).

3900218364 is an abundant number, since it is smaller than the sum of its proper divisors (7950192516).

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

3900218364 is a wasteful number, since it uses less digits than its factorization.

3900218364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29229 (or 29218 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3900218364 is about 62451.7282707212. The cubic root of 3900218364 is about 1574.0902937103.

The spelling of 3900218364 in words is "three billion, nine hundred million, two hundred eighteen thousand, three hundred sixty-four".