3880540590 has 64 divisors (see below), whose sum is σ = 9587483136. Its totient is φ = 1004637312.

The previous prime is 3880540579. The next prime is 3880540597. The reversal of 3880540590 is 950450883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880540597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206424 + ... + 224436.

It is an arithmetic number, because the mean of its divisors is an integer number (149804424).

Almost surely, 2^3880540590 is an apocalyptic number.

3880540590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880540590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793741568).

3880540590 is an abundant number, since it is smaller than the sum of its proper divisors (5706942546).

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

3880540590 is a wasteful number, since it uses less digits than its factorization.

3880540590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18233.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 3880540590 is about 62293.9851831619. The cubic root of 3880540590 is about 1571.4385762330.

The spelling of 3880540590 in words is "three billion, eight hundred eighty million, five hundred forty thousand, five hundred ninety".