3398400096 has 384 divisors, whose sum is σ = 11887948800. Its totient is φ = 841752576.

The previous prime is 3398400043. The next prime is 3398400101. The reversal of 3398400096 is 6900048933.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7276855 + ... + 7277321.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^3398400096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3398400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3398400096 is an abundant number, since it is smaller than the sum of its proper divisors (8489548704).

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

3398400096 is a wasteful number, since it uses less digits than its factorization.

3398400096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3398400096 is about 58295.7982705443. The cubic root of 3398400096 is about 1503.4586996902.

The spelling of 3398400096 in words is "three billion, three hundred ninety-eight million, four hundred thousand, ninety-six".