3493276416 has 576 divisors, whose sum is σ = 12997877760. Its totient is φ = 902430720.

The previous prime is 3493276387. The next prime is 3493276421. The reversal of 3493276416 is 6146723943.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25498300 + ... + 25498436.

It is an arithmetic number, because the mean of its divisors is an integer number (22565760).

Almost surely, 2^3493276416 is an apocalyptic number.

3493276416 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 3493276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498938880).

3493276416 is an abundant number, since it is smaller than the sum of its proper divisors (9504601344).

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

3493276416 is a wasteful number, since it uses less digits than its factorization.

3493276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3493276416 is about 59103.9458581236. The cubic root of 3493276416 is about 1517.3216360001.

The spelling of 3493276416 in words is "three billion, four hundred ninety-three million, two hundred seventy-six thousand, four hundred sixteen".