3414332400 has 240 divisors, whose sum is σ = 11595195360. Its totient is φ = 857292800.

The previous prime is 3414332399. The next prime is 3414332447. The reversal of 3414332400 is 42334143.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1425604 + ... + 1427996.

It is an arithmetic number, because the mean of its divisors is an integer number (48313314).

Almost surely, 2^3414332400 is an apocalyptic number.

3414332400 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 3414332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797597680).

3414332400 is an abundant number, since it is smaller than the sum of its proper divisors (8180862960).

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

3414332400 is a wasteful number, since it uses less digits than its factorization.

3414332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3414332400 is about 58432.2890190004. The cubic root of 3414332400 is about 1505.8045315248.

Adding to 3414332400 its reverse (42334143), we get a palindrome (3456666543).

The spelling of 3414332400 in words is "three billion, four hundred fourteen million, three hundred thirty-two thousand, four hundred".