3513427440 has 80 divisors (see below), whose sum is σ = 10940633088. Its totient is φ = 932698368.

The previous prime is 3513427409. The next prime is 3513427447. The reversal of 3513427440 is 447243153.

3513427440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3513427440² = 24688344752289907200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3513427447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20697 + ... + 86343.

Almost surely, 2^3513427440 is an apocalyptic number.

3513427440 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 3513427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470316544).

3513427440 is an abundant number, since it is smaller than the sum of its proper divisors (7427205648).

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

3513427440 is a wasteful number, since it uses less digits than its factorization.

3513427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65886 (or 65880 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3513427440 is about 59274.1717782712. The cubic root of 3513427440 is about 1520.2336090624.

The spelling of 3513427440 in words is "three billion, five hundred thirteen million, four hundred twenty-seven thousand, four hundred forty".