3505946976 has 240 divisors, whose sum is σ = 11855289600. Its totient is φ = 995639040.

The previous prime is 3505946957. The next prime is 3505946981. The reversal of 3505946976 is 6796495053.

3505946976 is a `hidden beast` number, since 3 + 505 + 9 + 4 + 69 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3610171 + ... + 3611141.

It is an arithmetic number, because the mean of its divisors is an integer number (49397040).

Almost surely, 2^3505946976 is an apocalyptic number.

3505946976 is a gapful number since it is divisible by the number (36) 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 3505946976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927644800).

3505946976 is an abundant number, since it is smaller than the sum of its proper divisors (8349342624).

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

3505946976 is a wasteful number, since it uses less digits than its factorization.

3505946976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 3505946976 is about 59211.0376196871. The cubic root of 3505946976 is about 1519.1539289578.

The spelling of 3505946976 in words is "three billion, five hundred five million, nine hundred forty-six thousand, nine hundred seventy-six".