3395288400 has 480 divisors, whose sum is σ = 12971193600. Its totient is φ = 758661120.

The previous prime is 3395288363. The next prime is 3395288441. The reversal of 3395288400 is 48825933.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30046744 + ... + 30046856.

It is an arithmetic number, because the mean of its divisors is an integer number (27023320).

Almost surely, 2^3395288400 is an apocalyptic number.

3395288400 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 3395288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485596800).

3395288400 is an abundant number, since it is smaller than the sum of its proper divisors (9575905200).

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

3395288400 is a wasteful number, since it uses less digits than its factorization.

3395288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3395288400 is about 58269.1033052681. The cubic root of 3395288400 is about 1502.9996861455. Note that the first 3 decimals are identical.

The spelling of 3395288400 in words is "three billion, three hundred ninety-five million, two hundred eighty-eight thousand, four hundred".