3449976300 has 360 divisors, whose sum is σ = 12193750800. Its totient is φ = 840430080.

The previous prime is 3449976269. The next prime is 3449976317. The reversal of 3449976300 is 36799443.

3449976300 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 9 + 7 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4462714 + ... + 4463486.

It is an arithmetic number, because the mean of its divisors is an integer number (33871530).

Almost surely, 2^3449976300 is an apocalyptic number.

3449976300 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 3449976300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096875400).

3449976300 is an abundant number, since it is smaller than the sum of its proper divisors (8743774500).

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

3449976300 is a wasteful number, since it uses less digits than its factorization.

3449976300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3449976300 is about 58736.4988742094. The cubic root of 3449976300 is about 1511.0263478302.

The spelling of 3449976300 in words is "three billion, four hundred forty-nine million, nine hundred seventy-six thousand, three hundred".