3551405040 has 240 divisors, whose sum is σ = 12582632160. Its totient is φ = 920678400.

The previous prime is 3551405029. The next prime is 3551405063. The reversal of 3551405040 is 405041553.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3551405040² = 25224955516274803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3551404995 and 3551405013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956440 + ... + 2957640.

It is an arithmetic number, because the mean of its divisors is an integer number (52427634).

Almost surely, 2^3551405040 is an apocalyptic number.

3551405040 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 3551405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291316080).

3551405040 is an abundant number, since it is smaller than the sum of its proper divisors (9031227120).

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

3551405040 is a wasteful number, since it uses less digits than its factorization.

3551405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3551405040 is about 59593.6661063909. Note that the first 3 decimals coincide. The cubic root of 3551405040 is about 1525.6915312133.

Adding to 3551405040 its reverse (405041553), we get a palindrome (3956446593).

The spelling of 3551405040 in words is "three billion, five hundred fifty-one million, four hundred five thousand, forty".