3490632288 has 288 divisors, whose sum is σ = 11769069312. Its totient is φ = 967449600.

The previous prime is 3490632269. The next prime is 3490632307. The reversal of 3490632288 is 8822360943.

3490632288 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 632 + 2 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3490632269) and next prime (3490632307).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3490632288² = 24369027540056229888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5394781 + ... + 5395427.

It is an arithmetic number, because the mean of its divisors is an integer number (40864824).

Almost surely, 2^3490632288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3490632288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884534656).

3490632288 is an abundant number, since it is smaller than the sum of its proper divisors (8278437024).

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

3490632288 is a wasteful number, since it uses less digits than its factorization.

3490632288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3490632288 is about 59081.5731679514. The cubic root of 3490632288 is about 1516.9387094080.

The spelling of 3490632288 in words is "three billion, four hundred ninety million, six hundred thirty-two thousand, two hundred eighty-eight".