3574050480 has 1600 divisors, whose sum is σ = 18148838400. Its totient is φ = 627056640.

The previous prime is 3574050463. The next prime is 3574050511. The reversal of 3574050480 is 840504753.

3574050480 is a `hidden beast` number, since 3 + 5 + 74 + 0 + 504 + 80 = 666.

3574050480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 123243106 + ... + 123243134.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2^3574050480 is an apocalyptic number.

3574050480 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 3574050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074419200).

3574050480 is an abundant number, since it is smaller than the sum of its proper divisors (14574787920).

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

3574050480 is a wasteful number, since it uses less digits than its factorization.

3574050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3574050480 is about 59783.3629030686. The cubic root of 3574050480 is about 1528.9275067458.

The spelling of 3574050480 in words is "three billion, five hundred seventy-four million, fifty thousand, four hundred eighty".