3053406720 has 640 divisors, whose sum is σ = 12770182656. Its totient is φ = 603979776.

The previous prime is 3053406701. The next prime is 3053406743. The reversal of 3053406720 is 276043503.

3053406720 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 (640).

It is a super-3 number, since 3×3053406720³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11880832 + ... + 11881088.

Almost surely, 2^3053406720 is an apocalyptic number.

3053406720 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 3053406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385091328).

3053406720 is an abundant number, since it is smaller than the sum of its proper divisors (9716775936).

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

3053406720 is a wasteful number, since it uses less digits than its factorization.

3053406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3053406720 is about 55257.6394718414. The cubic root of 3053406720 is about 1450.7577046625.

The spelling of 3053406720 in words is "three billion, fifty-three million, four hundred six thousand, seven hundred twenty".