3398522400 has 1296 divisors, whose sum is σ = 16297394400. Its totient is φ = 679311360.

The previous prime is 3398522363. The next prime is 3398522429. The reversal of 3398522400 is 42258933.

3398522400 is a `hidden beast` number, since 3 + 3 + 98 + 522 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 178869591 + ... + 178869609.

It is an arithmetic number, because the mean of its divisors is an integer number (12575150).

Almost surely, 2^3398522400 is an apocalyptic number.

3398522400 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 3398522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8148697200).

3398522400 is an abundant number, since it is smaller than the sum of its proper divisors (12898872000).

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

3398522400 is a wasteful number, since it uses less digits than its factorization.

3398522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3398522400 is about 58296.8472560910. The cubic root of 3398522400 is about 1503.4767353150.

The spelling of 3398522400 in words is "three billion, three hundred ninety-eight million, five hundred twenty-two thousand, four hundred".