3049961040 has 560 divisors, whose sum is σ = 12594717696. Its totient is φ = 671846400.

The previous prime is 3049961039. The next prime is 3049961053. The reversal of 3049961040 is 401699403.

3049961040 is a `hidden beast` number, since 30 + 4 + 9 + 9 + 610 + 4 + 0 = 666.

3049961040 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 (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 3049960986 and 3049961004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12655320 + ... + 12655560.

Almost surely, 2^3049961040 is an apocalyptic number.

3049961040 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 3049961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297358848).

3049961040 is an abundant number, since it is smaller than the sum of its proper divisors (9544756656).

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

3049961040 is a wasteful number, since it uses less digits than its factorization.

3049961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3049961040 is about 55226.4523575433. The cubic root of 3049961040 is about 1450.2117867423.

The spelling of 3049961040 in words is "three billion, forty-nine million, nine hundred sixty-one thousand, forty".