3354402400 has 72 divisors (see below), whose sum is σ = 8202928104. Its totient is φ = 1339468800.

The previous prime is 3354402397. The next prime is 3354402407. The reversal of 3354402400 is 42044533.

It is a super-2 number, since 2×3354402400² = 22504030922251520000, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354402407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511140 + ... + 517660.

It is an arithmetic number, because the mean of its divisors is an integer number (113929557).

Almost surely, 2^3354402400 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 3354402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101464052).

3354402400 is an abundant number, since it is smaller than the sum of its proper divisors (4848525704).

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

3354402400 is a wasteful number, since it uses less digits than its factorization.

3354402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 7171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3354402400 is about 57917.2029711380. The cubic root of 3354402400 is about 1496.9422748169.

Adding to 3354402400 its reverse (42044533), we get a palindrome (3396446933).

The spelling of 3354402400 in words is "three billion, three hundred fifty-four million, four hundred two thousand, four hundred".