3335052400 has 60 divisors (see below), whose sum is σ = 8053326072. Its totient is φ = 1327217920.

The previous prime is 3335052373. The next prime is 3335052419. The reversal of 3335052400 is 42505333.

It is a happy number.

It is a super-2 number, since 2×3335052400² = 22245149021491520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57639 + ... + 99961.

Almost surely, 2^3335052400 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 3335052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026663036).

3335052400 is an abundant number, since it is smaller than the sum of its proper divisors (4718273672).

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

3335052400 is a wasteful number, since it uses less digits than its factorization.

3335052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42538 (or 42527 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 3335052400 is about 57749.9125540463. The cubic root of 3335052400 is about 1494.0583325043.

Adding to 3335052400 its reverse (42505333), we get a palindrome (3377557733).

The spelling of 3335052400 in words is "three billion, three hundred thirty-five million, fifty-two thousand, four hundred".