3667153952 has 96 divisors (see below), whose sum is σ = 9171356544. Its totient is φ = 1401753600.

The previous prime is 3667153933. The next prime is 3667153979. The reversal of 3667153952 is 2593517663.

It is a junction number, because it is equal to n+sod(n) for n = 3667153897 and 3667153906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116552 + ... + 144632.

It is an arithmetic number, because the mean of its divisors is an integer number (95534964).

Almost surely, 2^3667153952 is an apocalyptic number.

3667153952 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 3667153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585678272).

3667153952 is an abundant number, since it is smaller than the sum of its proper divisors (5504202592).

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

3667153952 is a wasteful number, since it uses less digits than its factorization.

3667153952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28162 (or 28154 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 47.

The square root of 3667153952 is about 60557.0305744923. The cubic root of 3667153952 is about 1542.0899762057.

The spelling of 3667153952 in words is "three billion, six hundred sixty-seven million, one hundred fifty-three thousand, nine hundred fifty-two".