3334400672274 has 192 divisors, whose sum is σ = 8416822752000. Its totient is φ = 934360842240.

The previous prime is 3334400672249. The next prime is 3334400672297. The reversal of 3334400672274 is 4722760044333.

3334400672274 is a `hidden beast` number, since 3 + 334 + 40 + 0 + 6 + 7 + 2 + 274 = 666.

It is a super-2 number, since 2×3334400672274² (a number of 26 digits) contains 22 as substring.

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, 2224415977 + ... + 2224417475.

It is an arithmetic number, because the mean of its divisors is an integer number (43837618500).

Almost surely, 2^{3334400672274} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334400672274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208411376000).

3334400672274 is an abundant number, since it is smaller than the sum of its proper divisors (5082422079726).

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

3334400672274 is a wasteful number, since it uses less digits than its factorization.

3334400672274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 45.

The spelling of 3334400672274 in words is "three trillion, three hundred thirty-four billion, four hundred million, six hundred seventy-two thousand, two hundred seventy-four".