349760787264 has 448 divisors, whose sum is σ = 1192330782720. Its totient is φ = 98477752320.

The previous prime is 349760787251. The next prime is 349760787307. The reversal of 349760787264 is 462787067943.

It is a happy number.

349760787264 is a `hidden beast` number, since 3 + 497 + 6 + 0 + 7 + 87 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 360206299 + ... + 360207269.

It is an arithmetic number, because the mean of its divisors is an integer number (2661452640).

Almost surely, 2^349760787264 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 349760787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596165391360).

349760787264 is an abundant number, since it is smaller than the sum of its proper divisors (842569995456).

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

349760787264 is a wasteful number, since it uses less digits than its factorization.

349760787264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 349760787264 in words is "three hundred forty-nine billion, seven hundred sixty million, seven hundred eighty-seven thousand, two hundred sixty-four".