3064950900 has 360 divisors, whose sum is σ = 11116163520. Its totient is φ = 724032000.

The previous prime is 3064950883. The next prime is 3064950919. The reversal of 3064950900 is 90594603.

3064950900 is a `hidden beast` number, since 3 + 0 + 649 + 5 + 0 + 9 + 0 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3652681 + ... + 3653519.

It is an arithmetic number, because the mean of its divisors is an integer number (30878232).

Almost surely, 2^3064950900 is an apocalyptic number.

3064950900 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 3064950900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558081760).

3064950900 is an abundant number, since it is smaller than the sum of its proper divisors (8051212620).

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

3064950900 is a wasteful number, since it uses less digits than its factorization.

3064950900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3064950900 is about 55361.9986994689. The cubic root of 3064950900 is about 1452.5837247319.

The spelling of 3064950900 in words is "three billion, sixty-four million, nine hundred fifty thousand, nine hundred".