3431224400100 has 288 divisors, whose sum is σ = 12048775495680. Its totient is φ = 736425768960.

The previous prime is 3431224400053. The next prime is 3431224400101. The reversal of 3431224400100 is 10044221343.

It is not an unprimeable number, because it can be changed into a prime (3431224400101) 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, 4128189 + ... + 4889211.

Almost surely, 2^{3431224400100} is an apocalyptic number.

3431224400100 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 3431224400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024387747840).

3431224400100 is an abundant number, since it is smaller than the sum of its proper divisors (8617551095580).

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

3431224400100 is a wasteful number, since it uses less digits than its factorization.

3431224400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761179 (or 761172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3431224400100 its reverse (10044221343), we get a palindrome (3441268621443).

The spelling of 3431224400100 in words is "three trillion, four hundred thirty-one billion, two hundred twenty-four million, four hundred thousand, one hundred".