3400450400 has 72 divisors (see below), whose sum is σ = 8366964480. Its totient is φ = 1349429760.

The previous prime is 3400450369. The next prime is 3400450409. The reversal of 3400450400 is 40540043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400450409) 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, 84866 + ... + 118334.

It is an arithmetic number, because the mean of its divisors is an integer number (116207840).

Almost surely, 2^3400450400 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 3400450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183482240).

3400450400 is an abundant number, since it is smaller than the sum of its proper divisors (4966514080).

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

3400450400 is a wasteful number, since it uses less digits than its factorization.

3400450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33616 (or 33603 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3400450400 is about 58313.3809686936. The cubic root of 3400450400 is about 1503.7609917091.

Adding to 3400450400 its reverse (40540043), we get a palindrome (3440990443).

The spelling of 3400450400 in words is "three billion, four hundred million, four hundred fifty thousand, four hundred".