3523632840 has 1280 divisors, whose sum is σ = 16685222400. Its totient is φ = 644972544.

The previous prime is 3523632829. The next prime is 3523632851. The reversal of 3523632840 is 482363253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3523632829) and next prime (3523632851).

It is a super-2 number, since 2×3523632840² = 24831976782252931200, which contains 22 as substring.

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 = 3523632795 and 3523632804.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 95233302 + ... + 95233338.

It is an arithmetic number, because the mean of its divisors is an integer number (13035330).

Almost surely, 2^3523632840 is an apocalyptic number.

3523632840 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 3523632840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342611200).

3523632840 is an abundant number, since it is smaller than the sum of its proper divisors (13161589560).

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

3523632840 is a wasteful number, since it uses less digits than its factorization.

3523632840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3523632840 is about 59360.1957543942. The cubic root of 3523632840 is about 1521.7041194463.

The spelling of 3523632840 in words is "three billion, five hundred twenty-three million, six hundred thirty-two thousand, eight hundred forty".