3506976 has 144 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 1036800.

The previous prime is 3506969. The next prime is 3506983. The reversal of 3506976 is 6796053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3506969) and next prime (3506983).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3506976.

It is a congruent number.

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, 85516 + ... + 85556.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 2^3506976 is an apocalyptic number.

3506976 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 3506976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3506976 is an abundant number, since it is smaller than the sum of its proper divisors (8050752).

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

3506976 is a wasteful number, since it uses less digits than its factorization.

3506976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3506976 is about 1872.6921797242. The cubic root of 3506976 is about 151.9302542437.

It can be divided in two parts, 350697 and 6, that added together give a triangular number (350703 = T₈₃₇).

The spelling of 3506976 in words is "three million, five hundred six thousand, nine hundred seventy-six".