3654048840 has 512 divisors, whose sum is σ = 13199155200. Its totient is φ = 801239040.

The previous prime is 3654048817. The next prime is 3654048851. The reversal of 3654048840 is 488404563.

It is a junction number, because it is equal to n+sod(n) for n = 3654048792 and 3654048801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59902410 + ... + 59902470.

It is an arithmetic number, because the mean of its divisors is an integer number (25779600).

Almost surely, 2^3654048840 is an apocalyptic number.

3654048840 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 3654048840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3654048840 is an abundant number, since it is smaller than the sum of its proper divisors (9545106360).

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

3654048840 is a wasteful number, since it uses less digits than its factorization.

3654048840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 3654048840 is about 60448.7290188967. The cubic root of 3654048840 is about 1540.2508221358.

The spelling of 3654048840 in words is "three billion, six hundred fifty-four million, forty-eight thousand, eight hundred forty".