3400102400 has 120 divisors (see below), whose sum is σ = 8504792340. Its totient is φ = 1347010560.

The previous prime is 3400102367. The next prime is 3400102403. The reversal of 3400102400 is 42010043.

It can be written as a sum of positive squares in 6 ways, for example, as 2455400704 + 944701696 = 49552^2 + 30736^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3400102403) 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, 1393982 + ... + 1396418.

Almost surely, 2^3400102400 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 3400102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252396170).

3400102400 is an abundant number, since it is smaller than the sum of its proper divisors (5104689940).

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

3400102400 is a wasteful number, since it uses less digits than its factorization.

3400102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3400102400 is about 58310.3970145977. The cubic root of 3400102400 is about 1503.7096919678.

Adding to 3400102400 its reverse (42010043), we get a palindrome (3442112443).

The spelling of 3400102400 in words is "three billion, four hundred million, one hundred two thousand, four hundred".