3650642026240 has 288 divisors, whose sum is σ = 9792676454400. Its totient is φ = 1292718735360.

The previous prime is 3650642026223. The next prime is 3650642026267. The reversal of 3650642026240 is 426202460563.

3650642026240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3650642026193 and 3650642026202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81176881 + ... + 81221839.

It is an arithmetic number, because the mean of its divisors is an integer number (34002348800).

Almost surely, 2^{3650642026240} 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 3650642026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896338227200).

3650642026240 is an abundant number, since it is smaller than the sum of its proper divisors (6142034428160).

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

3650642026240 is a wasteful number, since it uses less digits than its factorization.

3650642026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45143 (or 45129 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 3650642026240 in words is "three trillion, six hundred fifty billion, six hundred forty-two million, twenty-six thousand, two hundred forty".