3430400100 has 36 divisors (see below), whose sum is σ = 9925291824. Its totient is φ = 914773280.

The previous prime is 3430400081. The next prime is 3430400101. The reversal of 3430400100 is 10040343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3430400100.

It is not an unprimeable number, because it can be changed into a prime (3430400101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5717034 + ... + 5717633.

Almost surely, 2^3430400100 is an apocalyptic number.

3430400100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430400100 is an abundant number, since it is smaller than the sum of its proper divisors (6494891724).

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

3430400100 is a wasteful number, since it uses less digits than its factorization.

3430400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434684 (or 11434677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3430400100 is about 58569.6175503989. The cubic root of 3430400100 is about 1508.1629194717.

Adding to 3430400100 its reverse (10040343), we get a palindrome (3440440443).

The spelling of 3430400100 in words is "three billion, four hundred thirty million, four hundred thousand, one hundred".