3457864300 has 144 divisors (see below), whose sum is σ = 8611636320. Its totient is φ = 1193472000.

The previous prime is 3457864261. The next prime is 3457864301. The reversal of 3457864300 is 34687543.

3457864300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3457864301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1945012 + ... + 1946788.

It is an arithmetic number, because the mean of its divisors is an integer number (59803030).

Almost surely, 2^3457864300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3457864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305818160).

3457864300 is an abundant number, since it is smaller than the sum of its proper divisors (5153772020).

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

3457864300 is a wasteful number, since it uses less digits than its factorization.

3457864300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 3457864300 is about 58803.6078825101. The cubic root of 3457864300 is about 1512.1770710524.

The spelling of 3457864300 in words is "three billion, four hundred fifty-seven million, eight hundred sixty-four thousand, three hundred".