3648346309400 has 192 divisors, whose sum is σ = 9174083133600. Its totient is φ = 1341312860160.

The previous prime is 3648346309393. The next prime is 3648346309403. The reversal of 3648346309400 is 49036438463.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648346309403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095926936 + ... + 1095930264.

Almost surely, 2^{3648346309400} 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 3648346309400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587041566800).

3648346309400 is an abundant number, since it is smaller than the sum of its proper divisors (5525736824200).

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

3648346309400 is a wasteful number, since it uses less digits than its factorization.

3648346309400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 3648346309400 in words is "three trillion, six hundred forty-eight billion, three hundred forty-six million, three hundred nine thousand, four hundred".