3440164907900 has 288 divisors, whose sum is σ = 9172646246400. Its totient is φ = 1117223331840.

The previous prime is 3440164907873. The next prime is 3440164907903. The reversal of 3440164907900 is 97094610443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440164907903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81235532 + ... + 81277868.

Almost surely, 2^{3440164907900} 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 3440164907900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586323123200).

3440164907900 is an abundant number, since it is smaller than the sum of its proper divisors (5732481338500).

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

3440164907900 is a wasteful number, since it uses less digits than its factorization.

3440164907900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42498 (or 42477 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 3440164907900 in words is "three trillion, four hundred forty billion, one hundred sixty-four million, nine hundred seven thousand, nine hundred".