3374464080 has 320 divisors, whose sum is σ = 11759247360. Its totient is φ = 794880000.

The previous prime is 3374464069. The next prime is 3374464081. The reversal of 3374464080 is 804644733.

It is a super-2 number, since 2×3374464080² = 22774015654420492800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374464081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13443955 + ... + 13444205.

It is an arithmetic number, because the mean of its divisors is an integer number (36747648).

Almost surely, 2^3374464080 is an apocalyptic number.

3374464080 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 3374464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879623680).

3374464080 is an abundant number, since it is smaller than the sum of its proper divisors (8384783280).

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

3374464080 is a wasteful number, since it uses less digits than its factorization.

3374464080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 3374464080 is about 58090.1375450257. The cubic root of 3374464080 is about 1499.9206002416.

The spelling of 3374464080 in words is "three billion, three hundred seventy-four million, four hundred sixty-four thousand, eighty".