3336040400 has 240 divisors, whose sum is σ = 10113102720. Its totient is φ = 1027276800.

The previous prime is 3336040397. The next prime is 3336040439. The reversal of 3336040400 is 40406333.

It is a super-2 number, since 2×3336040400² = 22258331100864320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2740592 + ... + 2741808.

It is an arithmetic number, because the mean of its divisors is an integer number (42137928).

Almost surely, 2^3336040400 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 3336040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056551360).

3336040400 is an abundant number, since it is smaller than the sum of its proper divisors (6777062320).

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

3336040400 is a wasteful number, since it uses less digits than its factorization.

3336040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3336040400 is about 57758.4660461131. The cubic root of 3336040400 is about 1494.2058548131.

Adding to 3336040400 its reverse (40406333), we get a palindrome (3376446733).

The spelling of 3336040400 in words is "three billion, three hundred thirty-six million, forty thousand, four hundred".