3712386263040 has 2304 divisors, whose sum is σ = 16770923769600. Its totient is φ = 772013555712.

The previous prime is 3712386263023. The next prime is 3712386263057. The reversal of 3712386263040 is 403626832173.

3712386263040 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 3 + 8 + 6 + 2 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3712386263023) and next prime (3712386263057).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18844600222 + ... + 18844600418.

It is an arithmetic number, because the mean of its divisors is an integer number (7279046775).

Almost surely, 2^{3712386263040} is an apocalyptic number.

3712386263040 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 3712386263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385461884800).

3712386263040 is an abundant number, since it is smaller than the sum of its proper divisors (13058537506560).

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

3712386263040 is a wasteful number, since it uses less digits than its factorization.

3712386263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3712386263040 in words is "three trillion, seven hundred twelve billion, three hundred eighty-six million, two hundred sixty-three thousand, forty".