3890222640 has 300 divisors, whose sum is σ = 14268443904. Its totient is φ = 982202112.

The previous prime is 3890222617. The next prime is 3890222653. The reversal of 3890222640 is 462220983.

3890222640 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 2 + 2 + 2 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3890222595 and 3890222604.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2338449 + ... + 2340111.

Almost surely, 2^3890222640 is an apocalyptic number.

3890222640 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 3890222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134221952).

3890222640 is an abundant number, since it is smaller than the sum of its proper divisors (10378221264).

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

3890222640 is a wasteful number, since it uses less digits than its factorization.

3890222640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3890222640 is about 62371.6493288417. The cubic root of 3890222640 is about 1572.7444175452.

The spelling of 3890222640 in words is "three billion, eight hundred ninety million, two hundred twenty-two thousand, six hundred forty".