3490528320 has 336 divisors, whose sum is σ = 12427354368. Its totient is φ = 898744320.

The previous prime is 3490528309. The next prime is 3490528331. The reversal of 3490528320 is 238250943.

It is an interprime number because it is at equal distance from previous prime (3490528309) and next prime (3490528331).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14483400 + ... + 14483640.

Almost surely, 2^3490528320 is an apocalyptic number.

3490528320 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 3490528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213677184).

3490528320 is an abundant number, since it is smaller than the sum of its proper divisors (8936826048).

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

3490528320 is a wasteful number, since it uses less digits than its factorization.

3490528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3490528320 is about 59080.6932931563. The cubic root of 3490528320 is about 1516.9236486552.

The spelling of 3490528320 in words is "three billion, four hundred ninety million, five hundred twenty-eight thousand, three hundred twenty".