3703563840 has 224 divisors, whose sum is σ = 12186537984. Its totient is φ = 952197120.

The previous prime is 3703563779. The next prime is 3703563901. The reversal of 3703563840 is 483653073.

It is an interprime number because it is at equal distance from previous prime (3703563779) and next prime (3703563901).

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, 4510630 + ... + 4511450.

Almost surely, 2^3703563840 is an apocalyptic number.

3703563840 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 3703563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093268992).

3703563840 is an abundant number, since it is smaller than the sum of its proper divisors (8482974144).

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

3703563840 is a wasteful number, since it uses less digits than its factorization.

3703563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3703563840 is about 60856.9128365874. The cubic root of 3703563840 is about 1547.1768019316.

The spelling of 3703563840 in words is "three billion, seven hundred three million, five hundred sixty-three thousand, eight hundred forty".