3358970820 has 108 divisors (see below), whose sum is σ = 10552809540. Its totient is φ = 864799488.

The previous prime is 3358970779. The next prime is 3358970833. The reversal of 3358970820 is 280798533.

It can be written as a sum of positive squares in 6 ways, for example, as 5171076 + 3353799744 = 2274^2 + 57912^2 .

It is a super-2 number, since 2×3358970820² = 22565369939222944800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140286 + ... + 162474.

Almost surely, 2^3358970820 is an apocalyptic number.

3358970820 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 3358970820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276404770).

3358970820 is an abundant number, since it is smaller than the sum of its proper divisors (7193838720).

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

3358970820 is a wasteful number, since it uses less digits than its factorization.

3358970820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22262 (or 22228 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3358970820 is about 57956.6287839450. The cubic root of 3358970820 is about 1497.6215372701.

The spelling of 3358970820 in words is "three billion, three hundred fifty-eight million, nine hundred seventy thousand, eight hundred twenty".