3607827840 has 384 divisors, whose sum is σ = 13169407680. Its totient is φ = 908328960.

The previous prime is 3607827829. The next prime is 3607827871. The reversal of 3607827840 is 487287063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14970120 + ... + 14970360.

Almost surely, 2^3607827840 is an apocalyptic number.

3607827840 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 3607827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584703840).

3607827840 is an abundant number, since it is smaller than the sum of its proper divisors (9561579840).

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

3607827840 is a wasteful number, since it uses less digits than its factorization.

3607827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3607827840 is about 60065.1965783847. The cubic root of 3607827840 is about 1533.7289027731.

The spelling of 3607827840 in words is "three billion, six hundred seven million, eight hundred twenty-seven thousand, eight hundred forty".