3395462400 has 648 divisors, whose sum is σ = 13878236736. Its totient is φ = 783974400.

The previous prime is 3395462383. The next prime is 3395462461. The reversal of 3395462400 is 42645933.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14572684 + ... + 14572916.

It is an arithmetic number, because the mean of its divisors is an integer number (21417032).

Almost surely, 2^3395462400 is an apocalyptic number.

3395462400 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 3395462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939118368).

3395462400 is an abundant number, since it is smaller than the sum of its proper divisors (10482774336).

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

3395462400 is a wasteful number, since it uses less digits than its factorization.

3395462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3395462400 is about 58270.5963587125. The cubic root of 3395462400 is about 1503.0253606928.

The spelling of 3395462400 in words is "three billion, three hundred ninety-five million, four hundred sixty-two thousand, four hundred".