3524775072 has 192 divisors, whose sum is σ = 11781262080. Its totient is φ = 897490944.

The previous prime is 3524775071. The next prime is 3524775077. The reversal of 3524775072 is 2705774253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3524775071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246388 + ... + 260300.

It is an arithmetic number, because the mean of its divisors is an integer number (61360740).

Almost surely, 2^3524775072 is an apocalyptic number.

3524775072 is a gapful number since it is divisible by the number (32) 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 3524775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890631040).

3524775072 is an abundant number, since it is smaller than the sum of its proper divisors (8256487008).

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

3524775072 is a wasteful number, since it uses less digits than its factorization.

3524775072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13975 (or 13967 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 42.

The square root of 3524775072 is about 59369.8161694981. The cubic root of 3524775072 is about 1521.8685284941.

The spelling of 3524775072 in words is "three billion, five hundred twenty-four million, seven hundred seventy-five thousand, seventy-two".