3907661298100 has 144 divisors (see below), whose sum is σ = 10267978307328. Its totient is φ = 1260109301760.

The previous prime is 3907661298017. The next prime is 3907661298113. The reversal of 3907661298100 is 18921667093.

It is a happy number.

It is a super-2 number, since 2×3907661298100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17656729 + ... + 17876671.

It is an arithmetic number, because the mean of its divisors is an integer number (71305404912).

Almost surely, 2^{3907661298100} 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 3907661298100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133989153664).

3907661298100 is an abundant number, since it is smaller than the sum of its proper divisors (6360317009228).

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

3907661298100 is a wasteful number, since it uses less digits than its factorization.

3907661298100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221474 (or 221467 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 3907661298100 in words is "three trillion, nine hundred seven billion, six hundred sixty-one million, two hundred ninety-eight thousand, one hundred".