3450044400 has 480 divisors, whose sum is σ = 12647190528. Its totient is φ = 796646400.

The previous prime is 3450044399. The next prime is 3450044419. The reversal of 3450044400 is 44400543.

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 95 ways as a sum of consecutive naturals, for example, 41566759 + ... + 41566841.

Almost surely, 2^3450044400 is an apocalyptic number.

3450044400 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 3450044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323595264).

3450044400 is an abundant number, since it is smaller than the sum of its proper divisors (9197146128).

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

3450044400 is a wasteful number, since it uses less digits than its factorization.

3450044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3450044400 is about 58737.0785790373. The cubic root of 3450044400 is about 1511.0362899484.

Adding to 3450044400 its reverse (44400543), we get a palindrome (3494444943).

The spelling of 3450044400 in words is "three billion, four hundred fifty million, forty-four thousand, four hundred".