3207674880 has 264 divisors, whose sum is σ = 11212385184. Its totient is φ = 847872000.

The previous prime is 3207674879. The next prime is 3207674887. The reversal of 3207674880 is 884767023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3207674887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6957850 + ... + 6958310.

It is an arithmetic number, because the mean of its divisors is an integer number (42471156).

Almost surely, 2^3207674880 is an apocalyptic number.

3207674880 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 3207674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606192592).

3207674880 is an abundant number, since it is smaller than the sum of its proper divisors (8004710304).

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

3207674880 is a wasteful number, since it uses less digits than its factorization.

3207674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3207674880 is about 56636.3388647254. The cubic root of 3207674880 is about 1474.7897630070.

The spelling of 3207674880 in words is "three billion, two hundred seven million, six hundred seventy-four thousand, eight hundred eighty".