3280370400 has 720 divisors, whose sum is σ = 13067163648. Its totient is φ = 798336000.

The previous prime is 3280370389. The next prime is 3280370437. The reversal of 3280370400 is 40730823.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3280370400² = 21521659922392320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46202365 + ... + 46202435.

Almost surely, 2^3280370400 is an apocalyptic number.

3280370400 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 3280370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533581824).

3280370400 is an abundant number, since it is smaller than the sum of its proper divisors (9786793248).

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

3280370400 is a wasteful number, since it uses less digits than its factorization.

3280370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3280370400 is about 57274.5178940862. The cubic root of 3280370400 is about 1485.8476947686.

It can be divided in two parts, 3280 and 370400, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 3280370400 in words is "three billion, two hundred eighty million, three hundred seventy thousand, four hundred".