3412493280 has 576 divisors, whose sum is σ = 14230702080. Its totient is φ = 763402752.

The previous prime is 3412493257. The next prime is 3412493303. The reversal of 3412493280 is 823942143.

It is an interprime number because it is at equal distance from previous prime (3412493257) and next prime (3412493303).

It is a super-2 number, since 2×3412493280² = 23290220772090316800, which contains 22 as substring.

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

It is a congruent number.

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, 72606217 + ... + 72606263.

It is an arithmetic number, because the mean of its divisors is an integer number (24706080).

Almost surely, 2^3412493280 is an apocalyptic number.

3412493280 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 3412493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115351040).

3412493280 is an abundant number, since it is smaller than the sum of its proper divisors (10818208800).

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

3412493280 is an frugal number, since it uses more digits than its factorization.

3412493280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3412493280 is about 58416.5497098211. The cubic root of 3412493280 is about 1505.5341172545.

The spelling of 3412493280 in words is "three billion, four hundred twelve million, four hundred ninety-three thousand, two hundred eighty".