3552436440 has 384 divisors, whose sum is σ = 13837824000. Its totient is φ = 802856448.

The previous prime is 3552436439. The next prime is 3552436463. The reversal of 3552436440 is 446342553.

3552436440 is a `hidden beast` number, since 3 + 5 + 5 + 2 + 4 + 3 + 644 + 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 = 3552436395 and 3552436404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7416121 + ... + 7416599.

It is an arithmetic number, because the mean of its divisors is an integer number (36036000).

Almost surely, 2^3552436440 is an apocalyptic number.

3552436440 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 3552436440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912000).

3552436440 is an abundant number, since it is smaller than the sum of its proper divisors (10285387560).

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

3552436440 is a wasteful number, since it uses less digits than its factorization.

3552436440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3552436440 is about 59602.3190823981. The cubic root of 3552436440 is about 1525.8392141648.

Adding to 3552436440 its reverse (446342553), we get a palindrome (3998778993).

The spelling of 3552436440 in words is "three billion, five hundred fifty-two million, four hundred thirty-six thousand, four hundred forty".