3815610677648 has 160 divisors (see below), whose sum is σ = 9516181020672. Its totient is φ = 1438354713600.

The previous prime is 3815610677621. The next prime is 3815610677693. The reversal of 3815610677648 is 8467760165183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

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, 322449140 + ... + 322460972.

Almost surely, 2^{3815610677648} 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 3815610677648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758090510336).

3815610677648 is an abundant number, since it is smaller than the sum of its proper divisors (5700570343024).

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

3815610677648 is a wasteful number, since it uses less digits than its factorization.

3815610677648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20333 (or 20327 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 62.

The spelling of 3815610677648 in words is "three trillion, eight hundred fifteen billion, six hundred ten million, six hundred seventy-seven thousand, six hundred forty-eight".