11777346 has 48 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 3364200.

The previous prime is 11777333. The next prime is 11777369. The reversal of 11777346 is 64377711.

11777346 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11777346.

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, 421 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (634410).

Almost surely, 2^11777346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11777346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225840).

11777346 is an abundant number, since it is smaller than the sum of its proper divisors (18674334).

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

11777346 is a wasteful number, since it uses less digits than its factorization.

11777346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4463 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 11777346 is about 3431.8138061381. The cubic root of 11777346 is about 227.5180261851.

The spelling of 11777346 in words is "eleven million, seven hundred seventy-seven thousand, three hundred forty-six".