3902360220 has 384 divisors, whose sum is σ = 14166835200. Its totient is φ = 881798400.

The previous prime is 3902360177. The next prime is 3902360221. The reversal of 3902360220 is 220632093.

3902360220 is a `hidden beast` number, since 39 + 0 + 2 + 3 + 602 + 20 = 666.

It is a super-3 number, since 3×3902360220³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3902360221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8012817 + ... + 8013303.

It is an arithmetic number, because the mean of its divisors is an integer number (36892800).

Almost surely, 2^3902360220 is an apocalyptic number.

3902360220 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 3902360220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083417600).

3902360220 is an abundant number, since it is smaller than the sum of its proper divisors (10264474980).

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

3902360220 is a wasteful number, since it uses less digits than its factorization.

3902360220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3902360220 is about 62468.8740093817. The cubic root of 3902360220 is about 1574.3783850812.

The spelling of 3902360220 in words is "three billion, nine hundred two million, three hundred sixty thousand, two hundred twenty".