2934082800 has 180 divisors, whose sum is σ = 11107876104. Its totient is φ = 711283200.

The previous prime is 2934082787. The next prime is 2934082807. The reversal of 2934082800 is 82804392.

2934082800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 (2934082807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2554 + ... + 76646.

Almost surely, 2^2934082800 is an apocalyptic number.

2934082800 is a gapful number since it is divisible by the number (20) 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 2934082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553938052).

2934082800 is an abundant number, since it is smaller than the sum of its proper divisors (8173793304).

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

2934082800 is a wasteful number, since it uses less digits than its factorization.

2934082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74128 (or 74114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2934082800 is about 54167.1745617214. The cubic root of 2934082800 is about 1431.6080171983.

The spelling of 2934082800 in words is "two billion, nine hundred thirty-four million, eighty-two thousand, eight hundred".