3642261376 has 64 divisors (see below), whose sum is σ = 7924543200. Its totient is φ = 1657313280.

The previous prime is 3642261323. The next prime is 3642261377. The reversal of 3642261376 is 6731622463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3642261376² = 26532135862202826752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642261377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102730 + ... + 133558.

Almost surely, 2^3642261376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962271600).

3642261376 is an abundant number, since it is smaller than the sum of its proper divisors (4282281824).

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

3642261376 is a wasteful number, since it uses less digits than its factorization.

3642261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30927 (or 30915 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 3642261376 is about 60351.1505772674. The cubic root of 3642261376 is about 1538.5928248906.

The spelling of 3642261376 in words is "three billion, six hundred forty-two million, two hundred sixty-one thousand, three hundred seventy-six".