3374017920 has 768 divisors, whose sum is σ = 14782884480. Its totient is φ = 690094080.

The previous prime is 3374017903. The next prime is 3374017921. The reversal of 3374017920 is 297104733.

It is a super-2 number, since 2×3374017920² = 22767993848962252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374017921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21490482 + ... + 21490638.

Almost surely, 2^3374017920 is an apocalyptic number.

3374017920 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 3374017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7391442240).

3374017920 is an abundant number, since it is smaller than the sum of its proper divisors (11408866560).

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

3374017920 is a wasteful number, since it uses less digits than its factorization.

3374017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3374017920 is about 58086.2971792832. The cubic root of 3374017920 is about 1499.8544925522.

The spelling of 3374017920 in words is "three billion, three hundred seventy-four million, seventeen thousand, nine hundred twenty".