3712858240 has 256 divisors, whose sum is σ = 11226136320. Its totient is φ = 1142636544.

The previous prime is 3712858231. The next prime is 3712858297. The reversal of 3712858240 is 428582173.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3712858193 and 3712858202.

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, 2154019 + ... + 2155741.

It is an arithmetic number, because the mean of its divisors is an integer number (43852095).

Almost surely, 2^3712858240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613068160).

3712858240 is an abundant number, since it is smaller than the sum of its proper divisors (7513278080).

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

3712858240 is a wasteful number, since it uses less digits than its factorization.

3712858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 3712858240 is about 60933.2277169034. The cubic root of 3712858240 is about 1548.4699768390.

The spelling of 3712858240 in words is "three billion, seven hundred twelve million, eight hundred fifty-eight thousand, two hundred forty".