3890255040 has 504 divisors, whose sum is σ = 16157795472. Its totient is φ = 888330240.

The previous prime is 3890255023. The next prime is 3890255051. The reversal of 3890255040 is 405520983.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 3890254986 and 3890255004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809730 + ... + 3810750.

It is an arithmetic number, because the mean of its divisors is an integer number (32059118).

Almost surely, 2^3890255040 is an apocalyptic number.

3890255040 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 3890255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078897736).

3890255040 is an abundant number, since it is smaller than the sum of its proper divisors (12267540432).

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

3890255040 is a wasteful number, since it uses less digits than its factorization.

3890255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3890255040 is about 62371.9090616922. The cubic root of 3890255040 is about 1572.7487837715.

The spelling of 3890255040 in words is "three billion, eight hundred ninety million, two hundred fifty-five thousand, forty".