3685274880 has 288 divisors, whose sum is σ = 13647771648. Its totient is φ = 830054400.

The previous prime is 3685274837. The next prime is 3685274893. The reversal of 3685274880 is 884725863.

It is a happy number.

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, 1907515 + ... + 1909445.

It is an arithmetic number, because the mean of its divisors is an integer number (47388096).

Almost surely, 2^3685274880 is an apocalyptic number.

3685274880 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 3685274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823885824).

3685274880 is an abundant number, since it is smaller than the sum of its proper divisors (9962496768).

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

3685274880 is a wasteful number, since it uses less digits than its factorization.

3685274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 3685274880 is about 60706.4648946057. The cubic root of 3685274880 is about 1544.6258391609.

The spelling of 3685274880 in words is "three billion, six hundred eighty-five million, two hundred seventy-four thousand, eight hundred eighty".