3554105940 has 288 divisors, whose sum is σ = 13539052800. Its totient is φ = 733132800.

The previous prime is 3554105939. The next prime is 3554105963. The reversal of 3554105940 is 495014553.

3554105940 is a `hidden beast` number, since 3 + 5 + 54 + 10 + 594 + 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 = 3554105895 and 3554105904.

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, 2064280 + ... + 2066000.

It is an arithmetic number, because the mean of its divisors is an integer number (47010600).

Almost surely, 2^3554105940 is an apocalyptic number.

3554105940 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 3554105940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769526400).

3554105940 is an abundant number, since it is smaller than the sum of its proper divisors (9984946860).

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

3554105940 is a wasteful number, since it uses less digits than its factorization.

3554105940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3554105940 is about 59616.3227648267. The cubic root of 3554105940 is about 1526.0782040955.

The spelling of 3554105940 in words is "three billion, five hundred fifty-four million, one hundred five thousand, nine hundred forty".