3333474000 has 480 divisors, whose sum is σ = 12744600960. Its totient is φ = 842140800.

The previous prime is 3333473987. The next prime is 3333474071. The reversal of 3333474000 is 4743333.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×3333474000² = 22224097817352000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175445991 + ... + 175446009.

It is an arithmetic number, because the mean of its divisors is an integer number (26551252).

Almost surely, 2^3333474000 is an apocalyptic number.

3333474000 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 3333474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372300480).

3333474000 is an abundant number, since it is smaller than the sum of its proper divisors (9411126960).

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

3333474000 is an frugal number, since it uses more digits than its factorization.

3333474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3333474000 is about 57736.2451151787. The cubic root of 3333474000 is about 1493.8225946991.

The spelling of 3333474000 in words is "three billion, three hundred thirty-three million, four hundred seventy-four thousand".