3845672268480 has 672 divisors, whose sum is σ = 16040468076480. Its totient is φ = 864594984960.

The previous prime is 3845672268401. The next prime is 3845672268497. The reversal of 3845672268480 is 848622765483.

3845672268480 is a `hidden beast` number, since 3 + 8 + 4 + 567 + 2 + 2 + 68 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3845672268480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25750504 + ... + 25899416.

Almost surely, 2^{3845672268480} is an apocalyptic number.

3845672268480 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 3845672268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020234038240).

3845672268480 is an abundant number, since it is smaller than the sum of its proper divisors (12194795808000).

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

3845672268480 is a wasteful number, since it uses less digits than its factorization.

3845672268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149014 (or 148991 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 3845672268480 in words is "three trillion, eight hundred forty-five billion, six hundred seventy-two million, two hundred sixty-eight thousand, four hundred eighty".