1234934400 has 768 divisors, whose sum is σ = 5245378560. Its totient is φ = 248709120.

The previous prime is 1234934381. The next prime is 1234934413. The reversal of 1234934400 is 44394321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26275177 + ... + 26275223.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2^1234934400 is an apocalyptic number.

1234934400 is a gapful number since it is divisible by the number (10) 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 1234934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622689280).

1234934400 is an abundant number, since it is smaller than the sum of its proper divisors (4010444160).

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

1234934400 is a wasteful number, since it uses less digits than its factorization.

1234934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1234934400 is about 35141.6334281718. The cubic root of 1234934400 is about 1072.8721275926.

The spelling of 1234934400 in words is "one billion, two hundred thirty-four million, nine hundred thirty-four thousand, four hundred".