3434042400 has 72 divisors (see below), whose sum is σ = 11177815824. Its totient is φ = 915744000.

The previous prime is 3434042363. The next prime is 3434042413. The reversal of 3434042400 is 42404343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713026 + ... + 717825.

It is an arithmetic number, because the mean of its divisors is an integer number (155247442).

Almost surely, 2^3434042400 is an apocalyptic number.

3434042400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434042400 is an abundant number, since it is smaller than the sum of its proper divisors (7743773424).

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

3434042400 is a wasteful number, since it uses less digits than its factorization.

3434042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430874 (or 1430861 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3434042400 is about 58600.7030674547. The cubic root of 3434042400 is about 1508.6965053140.

Adding to 3434042400 its reverse (42404343), we get a palindrome (3476446743).

The spelling of 3434042400 in words is "three billion, four hundred thirty-four million, forty-two thousand, four hundred".