3399782400 has 936 divisors, whose sum is σ = 15210883584. Its totient is φ = 707788800.

The previous prime is 3399782387. The next prime is 3399782447. The reversal of 3399782400 is 42879933.

It is a happy number.

3399782400 is a `hidden beast` number, since 339 + 9 + 78 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109670385 + ... + 109670415.

It is an arithmetic number, because the mean of its divisors is an integer number (16250944).

Almost surely, 2^3399782400 is an apocalyptic number.

3399782400 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 3399782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605441792).

3399782400 is an abundant number, since it is smaller than the sum of its proper divisors (11811101184).

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

3399782400 is a wasteful number, since it uses less digits than its factorization.

3399782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

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

The square root of 3399782400 is about 58307.6530139912. The cubic root of 3399782400 is about 1503.6625167025.

It can be divided in two parts, 339978 and 2400, that added together give a triangular number (342378 = T₈₂₇).

The spelling of 3399782400 in words is "three billion, three hundred ninety-nine million, seven hundred eighty-two thousand, four hundred".