3861107100900 has 405 divisors, whose sum is σ = 14564311977369. Its totient is φ = 882255810240.

The previous prime is 3861107100869. The next prime is 3861107100913. The reversal of 3861107100900 is 90017011683.

The square root of 3861107100900 is 1964970.

It is a perfect power (a square), and thus also a powerful number.

3861107100900 is a `hidden beast` number, since 38 + 611 + 0 + 7 + 1 + 0 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1389998556324 + 2471108544576 = 1178982^2 + 1571976^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1237929541 + ... + 1237932659.

Almost surely, 2^{3861107100900} is an apocalyptic number.

3861107100900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3861107100900 is the 1964970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3861107100900

3861107100900 is an abundant number, since it is smaller than the sum of its proper divisors (10703204876469).

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

3861107100900 is an equidigital number, since it uses as much as digits as its factorization.

3861107100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 3861107100900 by its sum of digits (36), we get a square (138999855632400 = 11789820²).

3861107100900 divided by its sum of digits (36) gives a square (107252975025 = 327495²).

The spelling of 3861107100900 in words is "three trillion, eight hundred sixty-one billion, one hundred seven million, one hundred thousand, nine hundred".