3762276336 has 800 divisors, whose sum is σ = 14922378240. Its totient is φ = 886837248.

The previous prime is 3762276319. The next prime is 3762276337. The reversal of 3762276336 is 6336722673.

3762276336 is a `hidden beast` number, since 3 + 7 + 6 + 2 + 2 + 7 + 633 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3762276291 and 3762276300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3762276337) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51537996 + ... + 51538068.

Almost surely, 2^3762276336 is an apocalyptic number.

3762276336 is a gapful number since it is divisible by the number (36) 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 3762276336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461189120).

3762276336 is an abundant number, since it is smaller than the sum of its proper divisors (11160101904).

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

3762276336 is a wasteful number, since it uses less digits than its factorization.

3762276336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The square root of 3762276336 is about 61337.3975320114. The cubic root of 3762276336 is about 1555.3097587716.

The spelling of 3762276336 in words is "three billion, seven hundred sixty-two million, two hundred seventy-six thousand, three hundred thirty-six".