3360471001974 has 256 divisors, whose sum is σ = 8189777756160. Its totient is φ = 1017212152320.

The previous prime is 3360471001973. The next prime is 3360471002027. The reversal of 3360471001974 is 4791001740633.

3360471001974 is a `hidden beast` number, since 33 + 60 + 471 + 0 + 0 + 1 + 97 + 4 = 666.

It is a super-2 number, since 2×3360471001974² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360471001973) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2224003879 + ... + 2224005389.

It is an arithmetic number, because the mean of its divisors is an integer number (31991319360).

Almost surely, 2^{3360471001974} is an apocalyptic number.

3360471001974 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3360471001974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094888878080).

3360471001974 is an abundant number, since it is smaller than the sum of its proper divisors (4829306754186).

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

3360471001974 is a wasteful number, since it uses less digits than its factorization.

3360471001974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 3360471001974 in words is "three trillion, three hundred sixty billion, four hundred seventy-one million, one thousand, nine hundred seventy-four".