3877649255040 has 512 divisors, whose sum is σ = 14114806087680. Its totient is φ = 896888832000.

The previous prime is 3877649254957. The next prime is 3877649255047. The reversal of 3877649255040 is 405529467783.

It is a super-2 number, since 2×3877649255040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3877649255047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46443412 + ... + 46526828.

It is an arithmetic number, because the mean of its divisors is an integer number (27567980640).

Almost surely, 2^{3877649255040} is an apocalyptic number.

3877649255040 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 3877649255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057403043840).

3877649255040 is an abundant number, since it is smaller than the sum of its proper divisors (10237156832640).

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

3877649255040 is a wasteful number, since it uses less digits than its factorization.

3877649255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83552 (or 83540 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 3877649255040 in words is "three trillion, eight hundred seventy-seven billion, six hundred forty-nine million, two hundred fifty-five thousand, forty".