3814923248640 has 1056 divisors, whose sum is σ = 16054234919424. Its totient is φ = 817684807680.

The previous prime is 3814923248629. The next prime is 3814923248651. The reversal of 3814923248640 is 468423294183.

It is a happy number.

3814923248640 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 92 + 32 + 486 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3814923248629) and next prime (3814923248651).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1705373602 + ... + 1705375838.

Almost surely, 2^{3814923248640} is an apocalyptic number.

3814923248640 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 3814923248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027117459712).

3814923248640 is an abundant number, since it is smaller than the sum of its proper divisors (12239311670784).

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

3814923248640 is a wasteful number, since it uses less digits than its factorization.

3814923248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3814923248640 in words is "three trillion, eight hundred fourteen billion, nine hundred twenty-three million, two hundred forty-eight thousand, six hundred forty".