3507487440 has 80 divisors (see below), whose sum is σ = 10903766400. Its totient is φ = 932701696.

The previous prime is 3507487411. The next prime is 3507487441. The reversal of 3507487440 is 447847053.

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

It is a junction number, because it is equal to n+sod(n) for n = 3507487392 and 3507487401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3507487441) 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, 65806 + ... + 106514.

It is an arithmetic number, because the mean of its divisors is an integer number (136297080).

Almost surely, 2^3507487440 is an apocalyptic number.

3507487440 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 3507487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451883200).

3507487440 is an abundant number, since it is smaller than the sum of its proper divisors (7396278960).

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

3507487440 is a wasteful number, since it uses less digits than its factorization.

3507487440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41084 (or 41078 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 3507487440 is about 59224.0444414260. The cubic root of 3507487440 is about 1519.3763946984.

The spelling of 3507487440 in words is "three billion, five hundred seven million, four hundred eighty-seven thousand, four hundred forty".