3650121101088 has 288 divisors, whose sum is σ = 12976063132032. Its totient is φ = 945539481600.

The previous prime is 3650121101047. The next prime is 3650121101093. The reversal of 3650121101088 is 8801011210563.

3650121101088 is a `hidden beast` number, since 36 + 501 + 2 + 1 + 10 + 108 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 8051008 + ... + 8492288.

It is an arithmetic number, because the mean of its divisors is an integer number (45055774764).

Almost surely, 2^{3650121101088} 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 3650121101088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488031566016).

3650121101088 is an abundant number, since it is smaller than the sum of its proper divisors (9325942030944).

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

3650121101088 is a wasteful number, since it uses less digits than its factorization.

3650121101088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441688 (or 441677 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 3650121101088 in words is "three trillion, six hundred fifty billion, one hundred twenty-one million, one hundred one thousand, eighty-eight".