3673536840 has 256 divisors, whose sum is σ = 12541132800. Its totient is φ = 956259072.

The previous prime is 3673536821. The next prime is 3673536847. The reversal of 3673536840 is 486353763.

3673536840 is a `hidden beast` number, since 3 + 6 + 73 + 536 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3673536847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9591289 + ... + 9591671.

It is an arithmetic number, because the mean of its divisors is an integer number (48988800).

Almost surely, 2^3673536840 is an apocalyptic number.

3673536840 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 3673536840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270566400).

3673536840 is an abundant number, since it is smaller than the sum of its proper divisors (8867595960).

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

3673536840 is a wasteful number, since it uses less digits than its factorization.

3673536840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3673536840 is about 60609.7091232090. The cubic root of 3673536840 is about 1542.9841557694.

The spelling of 3673536840 in words is "three billion, six hundred seventy-three million, five hundred thirty-six thousand, eight hundred forty".