3493773504 has 252 divisors, whose sum is σ = 11420627400. Its totient is φ = 1017888768.

The previous prime is 3493773497. The next prime is 3493773509. The reversal of 3493773504 is 4053773943.

It is a happy number.

3493773504 is a `hidden beast` number, since 3 + 49 + 37 + 73 + 504 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3493773504.

It is not an unprimeable number, because it can be changed into a prime (3493773509) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1848592 + ... + 1850480.

It is an arithmetic number, because the mean of its divisors is an integer number (45319950).

Almost surely, 2^3493773504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493773504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710313700).

3493773504 is an abundant number, since it is smaller than the sum of its proper divisors (7926853896).

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

3493773504 is a wasteful number, since it uses less digits than its factorization.

3493773504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3493773504 is about 59108.1509100056. The cubic root of 3493773504 is about 1517.3936034517.

The spelling of 3493773504 in words is "three billion, four hundred ninety-three million, seven hundred seventy-three thousand, five hundred four".