3016742400 has 960 divisors, whose sum is σ = 13395571200. Its totient is φ = 650280960.

The previous prime is 3016742387. The next prime is 3016742467. The reversal of 3016742400 is 42476103.

3016742400 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 (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70156779 + ... + 70156821.

It is an arithmetic number, because the mean of its divisors is an integer number (13953720).

Almost surely, 2^3016742400 is an apocalyptic number.

3016742400 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 3016742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697785600).

3016742400 is an abundant number, since it is smaller than the sum of its proper divisors (10378828800).

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

3016742400 is a wasteful number, since it uses less digits than its factorization.

3016742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3016742400 is about 54924.8796084252. The cubic root of 3016742400 is about 1444.9275634877.

The spelling of 3016742400 in words is "three billion, sixteen million, seven hundred forty-two thousand, four hundred".