3434482800 has 360 divisors, whose sum is σ = 14424317856. Its totient is φ = 738754560.

The previous prime is 3434482759. The next prime is 3434482801. The reversal of 3434482800 is 82844343.

3434482800 is a `hidden beast` number, since 34 + 344 + 8 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434482801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 424392 + ... + 432408.

Almost surely, 2^3434482800 is an apocalyptic number.

3434482800 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 3434482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212158928).

3434482800 is an abundant number, since it is smaller than the sum of its proper divisors (10989835056).

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

3434482800 is a wasteful number, since it uses less digits than its factorization.

3434482800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8065 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3434482800 is about 58604.4605810855. The cubic root of 3434482800 is about 1508.7609969987.

The spelling of 3434482800 in words is "three billion, four hundred thirty-four million, four hundred eighty-two thousand, eight hundred".