3782462969376 has 3072 divisors, whose sum is σ = 15996911616000. Its totient is φ = 869100503040.

The previous prime is 3782462969323. The next prime is 3782462969381. The reversal of 3782462969376 is 6739692642873.

3782462969376 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 462 + 9 + 6 + 93 + 76 = 666.

It is a super-2 number, since 2×3782462969376² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (987614208) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 122014934481 + ... + 122014934511.

It is an arithmetic number, because the mean of its divisors is an integer number (5207328000).

Almost surely, 2^{3782462969376} is an apocalyptic number.

3782462969376 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 3782462969376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998455808000).

3782462969376 is an abundant number, since it is smaller than the sum of its proper divisors (12214448646624).

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

3782462969376 is a wasteful number, since it uses less digits than its factorization.

3782462969376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 72.

The spelling of 3782462969376 in words is "three trillion, seven hundred eighty-two billion, four hundred sixty-two million, nine hundred sixty-nine thousand, three hundred seventy-six".