3439638090 has 192 divisors, whose sum is σ = 10722067200. Its totient is φ = 748403712.

The previous prime is 3439638089. The next prime is 3439638107. The reversal of 3439638090 is 908369343.

3439638090 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 638 + 0 + 9 + 0 = 666.

It is a super-2 number, since 2×3439638090² = 23662220380357696200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1332421 + ... + 1334999.

It is an arithmetic number, because the mean of its divisors is an integer number (55844100).

Almost surely, 2^3439638090 is an apocalyptic number.

3439638090 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 3439638090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361033600).

3439638090 is an abundant number, since it is smaller than the sum of its proper divisors (7282429110).

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

3439638090 is a wasteful number, since it uses less digits than its factorization.

3439638090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3439638090 is about 58648.4278561668. The cubic root of 3439638090 is about 1509.5155222487.

The spelling of 3439638090 in words is "three billion, four hundred thirty-nine million, six hundred thirty-eight thousand, ninety".