3445407259420 has 384 divisors, whose sum is σ = 9544429117440. Its totient is φ = 1016422318080.

The previous prime is 3445407259373. The next prime is 3445407259457. The reversal of 3445407259420 is 249527045443.

It is a congruent number.

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, 146184477 + ... + 146208043.

It is an arithmetic number, because the mean of its divisors is an integer number (24855284160).

Almost surely, 2^{3445407259420} 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 3445407259420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772214558720).

3445407259420 is an abundant number, since it is smaller than the sum of its proper divisors (6099021858020).

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

3445407259420 is a wasteful number, since it uses less digits than its factorization.

3445407259420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23733 (or 23731 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 3445407259420 in words is "three trillion, four hundred forty-five billion, four hundred seven million, two hundred fifty-nine thousand, four hundred twenty".