3290857920 has 336 divisors, whose sum is σ = 13009351680. Its totient is φ = 747952128.

The previous prime is 3290857919. The next prime is 3290857937. The reversal of 3290857920 is 297580923.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 4817899 + ... + 4818581.

Almost surely, 2^3290857920 is an apocalyptic number.

3290857920 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 3290857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504675840).

3290857920 is an abundant number, since it is smaller than the sum of its proper divisors (9718493760).

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

3290857920 is a wasteful number, since it uses less digits than its factorization.

3290857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3290857920 is about 57365.9996862253. Note that the first 3 decimals coincide. The cubic root of 3290857920 is about 1487.4294552144.

The spelling of 3290857920 in words is "three billion, two hundred ninety million, eight hundred fifty-seven thousand, nine hundred twenty".