3354728400 has 300 divisors, whose sum is σ = 12301599552. Its totient is φ = 875162880.

The previous prime is 3354728389. The next prime is 3354728417. The reversal of 3354728400 is 48274533.

It is a happy number.

3354728400 is a `hidden beast` number, since 33 + 547 + 2 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×3354728400² = 22508405275533120000, which contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1521699 + ... + 1523901.

Almost surely, 2^3354728400 is an apocalyptic number.

3354728400 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 3354728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150799776).

3354728400 is an abundant number, since it is smaller than the sum of its proper divisors (8946871152).

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

3354728400 is a wasteful number, since it uses less digits than its factorization.

3354728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3354728400 is about 57920.0172651908. The cubic root of 3354728400 is about 1496.9907670484.

The spelling of 3354728400 in words is "three billion, three hundred fifty-four million, seven hundred twenty-eight thousand, four hundred".