3377474667072 has 672 divisors, whose sum is σ = 11970794594304. Its totient is φ = 932174438400.

The previous prime is 3377474667037. The next prime is 3377474667131. The reversal of 3377474667072 is 2707664747733.

3377474667072 is a `hidden beast` number, since 3 + 37 + 7 + 4 + 7 + 466 + 70 + 72 = 666.

It is a super-2 number, since 2×3377474667072² (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, 90136213 + ... + 90173675.

It is an arithmetic number, because the mean of its divisors is an integer number (17813682432).

Almost surely, 2^{3377474667072} is an apocalyptic number.

3377474667072 is a gapful number since it is divisible by the number (32) 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 3377474667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985397297152).

3377474667072 is an abundant number, since it is smaller than the sum of its proper divisors (8593319927232).

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

3377474667072 is a wasteful number, since it uses less digits than its factorization.

3377474667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37549 (or 37527 counting only the distinct ones).

The product of its (nonzero) digits is 174254976, while the sum is 63.

The spelling of 3377474667072 in words is "three trillion, three hundred seventy-seven billion, four hundred seventy-four million, six hundred sixty-seven thousand, seventy-two".