3513066840 has 192 divisors, whose sum is σ = 11754512640. Its totient is φ = 909542400.

The previous prime is 3513066827. The next prime is 3513066859. The reversal of 3513066840 is 486603153.

3513066840 is a `hidden beast` number, since 3 + 513 + 0 + 66 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3513066795 and 3513066804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1926169 + ... + 1927991.

It is an arithmetic number, because the mean of its divisors is an integer number (61221420).

Almost surely, 2^3513066840 is an apocalyptic number.

3513066840 is a gapful number since it is divisible by the number (30) 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 3513066840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877256320).

3513066840 is an abundant number, since it is smaller than the sum of its proper divisors (8241445800).

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

3513066840 is a wasteful number, since it uses less digits than its factorization.

3513066840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3513066840 is about 59271.1299031831. The cubic root of 3513066840 is about 1520.1815976477.

Adding to 3513066840 its reverse (486603153), we get a palindrome (3999669993).

The spelling of 3513066840 in words is "three billion, five hundred thirteen million, sixty-six thousand, eight hundred forty".