3400172100 has 288 divisors, whose sum is σ = 11942013440. Its totient is φ = 824878080.

The previous prime is 3400172099. The next prime is 3400172117. The reversal of 3400172100 is 12710043.

It is a super-2 number, since 2×3400172100² = 23122340619236820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2561637 + ... + 2562963.

Almost surely, 2^3400172100 is an apocalyptic number.

3400172100 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 3400172100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971006720).

3400172100 is an abundant number, since it is smaller than the sum of its proper divisors (8541841340).

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

3400172100 is a wasteful number, since it uses less digits than its factorization.

3400172100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3400172100 is about 58310.9946751039. The cubic root of 3400172100 is about 1503.7199669377.

Adding to 3400172100 its reverse (12710043), we get a palindrome (3412882143).

The spelling of 3400172100 in words is "three billion, four hundred million, one hundred seventy-two thousand, one hundred".