3400924800 has 768 divisors, whose sum is σ = 14661561600. Its totient is φ = 672399360.

The previous prime is 3400924763. The next prime is 3400924883. The reversal of 3400924800 is 84290043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14851086 + ... + 14851314.

It is an arithmetic number, because the mean of its divisors is an integer number (19090575).

Almost surely, 2^3400924800 is an apocalyptic number.

3400924800 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 3400924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330780800).

3400924800 is an abundant number, since it is smaller than the sum of its proper divisors (11260636800).

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

3400924800 is a wasteful number, since it uses less digits than its factorization.

3400924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3400924800 is about 58317.4485038569. The cubic root of 3400924800 is about 1503.8309188225.

The spelling of 3400924800 in words is "three billion, four hundred million, nine hundred twenty-four thousand, eight hundred".