3400010400 has 72 divisors (see below), whose sum is σ = 11067041664. Its totient is φ = 906668800.

The previous prime is 3400010399. The next prime is 3400010479. The reversal of 3400010400 is 40100043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705936 + ... + 710735.

It is an arithmetic number, because the mean of its divisors is an integer number (153708912).

Almost surely, 2^3400010400 is an apocalyptic number.

3400010400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400010400 is an abundant number, since it is smaller than the sum of its proper divisors (7667031264).

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

3400010400 is a wasteful number, since it uses less digits than its factorization.

3400010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416694 (or 1416681 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3400010400 is about 58309.6081276491. The cubic root of 3400010400 is about 1503.6961293822.

Adding to 3400010400 its reverse (40100043), we get a palindrome (3440110443).

The spelling of 3400010400 in words is "three billion, four hundred million, ten thousand, four hundred".