3354998400 has 768 divisors, whose sum is σ = 13811616000. Its totient is φ = 789626880.

The previous prime is 3354998393. The next prime is 3354998407. The reversal of 3354998400 is 48994533.

It is a happy number.

3354998400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3354998393) and next prime (3354998407).

It is a super-2 number, since 2×3354998400² = 22512028528005120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3354998407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32572749 + ... + 32572851.

It is an arithmetic number, because the mean of its divisors is an integer number (17983875).

Almost surely, 2^3354998400 is an apocalyptic number.

3354998400 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 3354998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905808000).

3354998400 is an abundant number, since it is smaller than the sum of its proper divisors (10456617600).

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

3354998400 is a wasteful number, since it uses less digits than its factorization.

3354998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3354998400 is about 57922.3480187052. The cubic root of 3354998400 is about 1497.0309269477.

The spelling of 3354998400 in words is "three billion, three hundred fifty-four million, nine hundred ninety-eight thousand, four hundred".