3442694400 has 540 divisors, whose sum is σ = 13225650900. Its totient is φ = 882524160.

The previous prime is 3442694369. The next prime is 3442694401. The reversal of 3442694400 is 44962443.

It can be written as a sum of positive squares in 6 ways, for example, as 58247424 + 3384446976 = 7632^2 + 58176^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442694401) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 15033486 + ... + 15033714.

Almost surely, 2^3442694400 is an apocalyptic number.

3442694400 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 3442694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612825450).

3442694400 is an abundant number, since it is smaller than the sum of its proper divisors (9782956500).

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

3442694400 is a wasteful number, since it uses less digits than its factorization.

3442694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3442694400 is about 58674.4782678125. The cubic root of 3442694400 is about 1509.9624860934.

The spelling of 3442694400 in words is "three billion, four hundred forty-two million, six hundred ninety-four thousand, four hundred".