3691850813100 has 216 divisors, whose sum is σ = 12255823577088. Its totient is φ = 963546580800.

The previous prime is 3691850813099. The next prime is 3691850813129. The reversal of 3691850813100 is 13180581963.

It is a happy number.

3691850813100 is a `hidden beast` number, since 3 + 6 + 9 + 1 + 8 + 508 + 131 + 0 + 0 = 666.

It is a super-2 number, since 2×3691850813100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 474156 + ... + 2758355.

It is an arithmetic number, because the mean of its divisors is an integer number (56739923968).

Almost surely, 2^{3691850813100} is an apocalyptic number.

3691850813100 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 3691850813100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127911788544).

3691850813100 is an abundant number, since it is smaller than the sum of its proper divisors (8563972763988).

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

3691850813100 is a wasteful number, since it uses less digits than its factorization.

3691850813100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232587 (or 3232568 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 3691850813100 in words is "three trillion, six hundred ninety-one billion, eight hundred fifty million, eight hundred thirteen thousand, one hundred".