3553535040 has 448 divisors, whose sum is σ = 13167360000. Its totient is φ = 802897920.

The previous prime is 3553535023. The next prime is 3553535113. The reversal of 3553535040 is 405353553.

It is a super-2 number, since 2×3553535040² = 25255222561015603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3553534992 and 3553535010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17856861 + ... + 17857059.

Almost surely, 2^3553535040 is an apocalyptic number.

3553535040 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 3553535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680000).

3553535040 is an abundant number, since it is smaller than the sum of its proper divisors (9613824960).

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

3553535040 is a wasteful number, since it uses less digits than its factorization.

3553535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 33.

The square root of 3553535040 is about 59611.5344543319. The cubic root of 3553535040 is about 1525.9964878388.

Adding to 3553535040 its reverse (405353553), we get a palindrome (3958888593).

The spelling of 3553535040 in words is "three billion, five hundred fifty-three million, five hundred thirty-five thousand, forty".