4348620907008 has 1280 divisors, whose sum is σ = 14926660632576. Its totient is φ = 1096931082240.

The previous prime is 4348620906983. The next prime is 4348620907027. The reversal of 4348620907008 is 8007090268434.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34241109441 + ... + 34241109567.

Almost surely, 2^{4348620907008} is an apocalyptic number.

4348620907008 is a gapful number since it is divisible by the number (48) 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 4348620907008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463330316288).

4348620907008 is an abundant number, since it is smaller than the sum of its proper divisors (10578039725568).

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

4348620907008 is a wasteful number, since it uses less digits than its factorization.

4348620907008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 4348620907008 in words is "four trillion, three hundred forty-eight billion, six hundred twenty million, nine hundred seven thousand, eight".