3486194400 has 288 divisors, whose sum is σ = 12645128160. Its totient is φ = 828334080.

The previous prime is 3486194399. The next prime is 3486194441. The reversal of 3486194400 is 44916843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902874 + ... + 906726.

It is an arithmetic number, because the mean of its divisors is an integer number (43906695).

Almost surely, 2^3486194400 is an apocalyptic number.

3486194400 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 3486194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322564080).

3486194400 is an abundant number, since it is smaller than the sum of its proper divisors (9158933760).

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

3486194400 is a wasteful number, since it uses less digits than its factorization.

3486194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3486194400 is about 59044.0039292730. The cubic root of 3486194400 is about 1516.2955729106.

The spelling of 3486194400 in words is "three billion, four hundred eighty-six million, one hundred ninety-four thousand, four hundred".