3335126400 has 288 divisors, whose sum is σ = 12344131800. Its totient is φ = 889159680.

The previous prime is 3335126359. The next prime is 3335126401. The reversal of 3335126400 is 46215333.

It is a happy number.

3335126400 is a `hidden beast` number, since 3 + 3 + 3 + 5 + 12 + 640 + 0 = 666.

3335126400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3335126400² = 22246136207953920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335126401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 775456 + ... + 779744.

Almost surely, 2^3335126400 is an apocalyptic number.

3335126400 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 3335126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172065900).

3335126400 is an abundant number, since it is smaller than the sum of its proper divisors (9009005400).

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

3335126400 is an equidigital number, since it uses as much as digits as its factorization.

3335126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3335126400 is about 57750.5532441032. The cubic root of 3335126400 is about 1494.0693827554.

The spelling of 3335126400 in words is "three billion, three hundred thirty-five million, one hundred twenty-six thousand, four hundred".