3890160 has 80 divisors (see below), whose sum is σ = 13406880. Its totient is φ = 1036800.

The previous prime is 3890149. The next prime is 3890171. The reversal of 3890160 is 610983.

3890160 = T₂₇₁ + T₂₇₂ + ... + T₃₅₀.

It is an interprime number because it is at equal distance from previous prime (3890149) and next prime (3890171).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260 + ... + 3060.

It is an arithmetic number, because the mean of its divisors is an integer number (167586).

Almost surely, 2^3890160 is an apocalyptic number.

3890160 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 3890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703440).

3890160 is an abundant number, since it is smaller than the sum of its proper divisors (9516720).

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

3890160 is a wasteful number, since it uses less digits than its factorization.

3890160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3890160 is about 1972.3488535246. The cubic root of 3890160 is about 157.2735976106.

The spelling of 3890160 in words is "three million, eight hundred ninety thousand, one hundred sixty".