3923358848640 has 768 divisors, whose sum is σ = 17473323628800. Its totient is φ = 787128975360.

The previous prime is 3923358848527. The next prime is 3923358848657. The reversal of 3923358848640 is 468488533293.

It is a happy number.

3923358848640 is a `hidden beast` number, since 3 + 9 + 2 + 3 + 3 + 588 + 4 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 12709564 + ... + 13014596.

It is an arithmetic number, because the mean of its divisors is an integer number (22751723475).

Almost surely, 2^{3923358848640} is an apocalyptic number.

3923358848640 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 3923358848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736661814400).

3923358848640 is an abundant number, since it is smaller than the sum of its proper divisors (13549964780160).

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

3923358848640 is a wasteful number, since it uses less digits than its factorization.

3923358848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305105 (or 305090 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 3923358848640 in words is "three trillion, nine hundred twenty-three billion, three hundred fifty-eight million, eight hundred forty-eight thousand, six hundred forty".