3706246726100 has 144 divisors (see below), whose sum is σ = 8547007206528. Its totient is φ = 1390161346560.

The previous prime is 3706246726043. The next prime is 3706246726141. The reversal of 3706246726100 is 16276426073.

3706246726100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1429326404 + ... + 1429328996.

It is an arithmetic number, because the mean of its divisors is an integer number (59354216712).

Almost surely, 2^{3706246726100} 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 3706246726100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273503603264).

3706246726100 is an abundant number, since it is smaller than the sum of its proper divisors (4840760480428).

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

3706246726100 is a wasteful number, since it uses less digits than its factorization.

3706246726100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 3706246726100 in words is "three trillion, seven hundred six billion, two hundred forty-six million, seven hundred twenty-six thousand, one hundred".