3887294223680 has 112 divisors (see below), whose sum is σ = 10579894999680. Its totient is φ = 1332673026048.

The previous prime is 3887294223653. The next prime is 3887294223689. The reversal of 3887294223680 is 863224927883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3887294223680² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887294223689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28723211 + ... + 28858229.

Almost surely, 2^{3887294223680} is an apocalyptic number.

It is an amenable number.

3887294223680 is an abundant number, since it is smaller than the sum of its proper divisors (6692600776000).

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

3887294223680 is a wasteful number, since it uses less digits than its factorization.

3887294223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147896 (or 147886 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 62.

The spelling of 3887294223680 in words is "three trillion, eight hundred eighty-seven billion, two hundred ninety-four million, two hundred twenty-three thousand, six hundred eighty".