3634287840 has 144 divisors (see below), whose sum is σ = 12432420000. Its totient is φ = 966767616.

The previous prime is 3634287823. The next prime is 3634287887. The reversal of 3634287840 is 487824363.

3634287840 is a `hidden beast` number, since 3 + 634 + 2 + 8 + 7 + 8 + 4 + 0 = 666.

3634287840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629286 + ... + 635034.

It is an arithmetic number, because the mean of its divisors is an integer number (86336250).

Almost surely, 2^3634287840 is an apocalyptic number.

3634287840 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 3634287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216210000).

3634287840 is an abundant number, since it is smaller than the sum of its proper divisors (8798132160).

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

3634287840 is a wasteful number, since it uses less digits than its factorization.

3634287840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3634287840 is about 60285.0548643692. The cubic root of 3634287840 is about 1537.4692565734.

The spelling of 3634287840 in words is "three billion, six hundred thirty-four million, two hundred eighty-seven thousand, eight hundred forty".