3759056820 has 72 divisors (see below), whose sum is σ = 11425596000. Its totient is φ = 1000382400.

The previous prime is 3759056801. The next prime is 3759056831. The reversal of 3759056820 is 286509573.

It is a happy number.

3759056820 is a `hidden beast` number, since 3 + 7 + 590 + 56 + 8 + 2 + 0 = 666.

It is a super-3 number, since 3×3759056820³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68895 + ... + 110745.

Almost surely, 2^3759056820 is an apocalyptic number.

3759056820 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 3759056820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712798000).

3759056820 is an abundant number, since it is smaller than the sum of its proper divisors (7666539180).

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

3759056820 is a wasteful number, since it uses less digits than its factorization.

3759056820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42365 (or 42360 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3759056820 is about 61311.1475997636. The cubic root of 3759056820 is about 1554.8659872171.

The spelling of 3759056820 in words is "three billion, seven hundred fifty-nine million, fifty-six thousand, eight hundred twenty".