3518964540 has 384 divisors, whose sum is σ = 14187264000. Its totient is φ = 703199232.

The previous prime is 3518964509. The next prime is 3518964563. The reversal of 3518964540 is 454698153.

3518964540 is a `hidden beast` number, since 3 + 5 + 18 + 96 + 4 + 540 = 666.

It is a super-2 number, since 2×3518964540² = 24766222867554823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 931776 + ... + 935544.

It is an arithmetic number, because the mean of its divisors is an integer number (36946000).

Almost surely, 2^3518964540 is an apocalyptic number.

3518964540 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 3518964540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7093632000).

3518964540 is an abundant number, since it is smaller than the sum of its proper divisors (10668299460).

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

3518964540 is a wasteful number, since it uses less digits than its factorization.

3518964540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3518964540 is about 59320.8609175558. The cubic root of 3518964540 is about 1521.0318103902.

The spelling of 3518964540 in words is "three billion, five hundred eighteen million, nine hundred sixty-four thousand, five hundred forty".