3257984730 has 512 divisors, whose sum is σ = 11287019520. Its totient is φ = 579870720.

The previous prime is 3257984713. The next prime is 3257984749. The reversal of 3257984730 is 374897523.

It is a super-2 number, since 2×3257984730² = 21228929001826345800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3257984730.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36606526 + ... + 36606614.

It is an arithmetic number, because the mean of its divisors is an integer number (22044960).

Almost surely, 2^3257984730 is an apocalyptic number.

3257984730 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 3257984730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643509760).

3257984730 is an abundant number, since it is smaller than the sum of its proper divisors (8029034790).

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

3257984730 is a wasteful number, since it uses less digits than its factorization.

3257984730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 3257984730 is about 57078.7590089343. The cubic root of 3257984730 is about 1482.4601052635.

The spelling of 3257984730 in words is "three billion, two hundred fifty-seven million, nine hundred eighty-four thousand, seven hundred thirty".