3667479552 has 352 divisors, whose sum is σ = 12262348800. Its totient is φ = 1072742400.

The previous prime is 3667479551. The next prime is 3667479587. The reversal of 3667479552 is 2559747663.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3667479551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9427774 + ... + 9428162.

Almost surely, 2^3667479552 is an apocalyptic number.

3667479552 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 3667479552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131174400).

3667479552 is an abundant number, since it is smaller than the sum of its proper divisors (8594869248).

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

3667479552 is a wasteful number, since it uses less digits than its factorization.

3667479552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The square root of 3667479552 is about 60559.7188897042. The cubic root of 3667479552 is about 1542.1356146530.

The spelling of 3667479552 in words is "three billion, six hundred sixty-seven million, four hundred seventy-nine thousand, five hundred fifty-two".