3439972800 has 840 divisors, whose sum is σ = 14634301440. Its totient is φ = 783820800.

The previous prime is 3439972793. The next prime is 3439972847. The reversal of 3439972800 is 82799343.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27086337 + ... + 27086463.

Almost surely, 2^3439972800 is an apocalyptic number.

3439972800 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 3439972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317150720).

3439972800 is an abundant number, since it is smaller than the sum of its proper divisors (11194328640).

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

3439972800 is a wasteful number, since it uses less digits than its factorization.

3439972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3439972800 is about 58651.2813159269. The cubic root of 3439972800 is about 1509.5644841395.

The spelling of 3439972800 in words is "three billion, four hundred thirty-nine million, nine hundred seventy-two thousand, eight hundred".