3414079800 has 384 divisors, whose sum is σ = 12213504000. Its totient is φ = 876096000.

The previous prime is 3414079787. The next prime is 3414079811. The reversal of 3414079800 is 89704143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22609725 + ... + 22609875.

It is an arithmetic number, because the mean of its divisors is an integer number (31806000).

Almost surely, 2^3414079800 is an apocalyptic number.

3414079800 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 3414079800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752000).

3414079800 is an abundant number, since it is smaller than the sum of its proper divisors (8799424200).

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

3414079800 is a wasteful number, since it uses less digits than its factorization.

3414079800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3414079800 is about 58430.1275028559. The cubic root of 3414079800 is about 1505.7673963389.

The spelling of 3414079800 in words is "three billion, four hundred fourteen million, seventy-nine thousand, eight hundred".