3705442400 has 432 divisors, whose sum is σ = 11051292672. Its totient is φ = 1201152000.

The previous prime is 3705442343. The next prime is 3705442423. The reversal of 3705442400 is 42445073.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78839177 + ... + 78839223.

It is an arithmetic number, because the mean of its divisors is an integer number (25581696).

Almost surely, 2^3705442400 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 3705442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525646336).

3705442400 is an abundant number, since it is smaller than the sum of its proper divisors (7345850272).

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

3705442400 is a wasteful number, since it uses less digits than its factorization.

3705442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 3705442400 is about 60872.3451166455. The cubic root of 3705442400 is about 1547.4383493943.

Adding to 3705442400 its reverse (42445073), we get a palindrome (3747887473).

The spelling of 3705442400 in words is "three billion, seven hundred five million, four hundred forty-two thousand, four hundred".