3500979552 has 144 divisors (see below), whose sum is σ = 11534533920. Its totient is φ = 986535936.

The previous prime is 3500979529. The next prime is 3500979571. The reversal of 3500979552 is 2559790053.

3500979552 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 97 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3500979498 and 3500979507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135274 + ... + 159062.

It is an arithmetic number, because the mean of its divisors is an integer number (80100930).

Almost surely, 2^3500979552 is an apocalyptic number.

3500979552 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 3500979552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767266960).

3500979552 is an abundant number, since it is smaller than the sum of its proper divisors (8033554368).

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

3500979552 is a wasteful number, since it uses less digits than its factorization.

3500979552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23885 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 3500979552 is about 59169.0759772366. The cubic root of 3500979552 is about 1518.4361154307.

The spelling of 3500979552 in words is "three billion, five hundred million, nine hundred seventy-nine thousand, five hundred fifty-two".