3554036640 has 864 divisors, whose sum is σ = 16268091840. Its totient is φ = 696729600.

The previous prime is 3554036639. The next prime is 3554036683. The reversal of 3554036640 is 466304553.

3554036640 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 0 + 3 + 6 + 640 = 666.

3554036640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3554036595 and 3554036604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14746920 + ... + 14747160.

It is an arithmetic number, because the mean of its divisors is an integer number (18828810).

Almost surely, 2^3554036640 is an apocalyptic number.

3554036640 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 3554036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134045920).

3554036640 is an abundant number, since it is smaller than the sum of its proper divisors (12714055200).

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

3554036640 is a wasteful number, since it uses less digits than its factorization.

3554036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3554036640 is about 59615.7415453335. The cubic root of 3554036640 is about 1526.0682852478.

The spelling of 3554036640 in words is "three billion, five hundred fifty-four million, thirty-six thousand, six hundred forty".