3721890240 has 336 divisors, whose sum is σ = 14271772320. Its totient is φ = 884736000.

The previous prime is 3721890217. The next prime is 3721890281. The reversal of 3721890240 is 420981273.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3721890195 and 3721890204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928240 + ... + 932240.

Almost surely, 2^3721890240 is an apocalyptic number.

3721890240 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 3721890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135886160).

3721890240 is an abundant number, since it is smaller than the sum of its proper divisors (10549882080).

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

3721890240 is a wasteful number, since it uses less digits than its factorization.

3721890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3721890240 is about 61007.2966127823. The cubic root of 3721890240 is about 1549.7245767994.

The spelling of 3721890240 in words is "three billion, seven hundred twenty-one million, eight hundred ninety thousand, two hundred forty".