1377617472 has 336 divisors, whose sum is σ = 4992624000. Its totient is φ = 352788480.

The previous prime is 1377617471. The next prime is 1377617497. The reversal of 1377617472 is 2747167731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (1377617471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3947154 + ... + 3947502.

It is an arithmetic number, because the mean of its divisors is an integer number (14859000).

Almost surely, 2^1377617472 is an apocalyptic number.

1377617472 is a gapful number since it is divisible by the number (12) 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 1377617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312000).

1377617472 is an abundant number, since it is smaller than the sum of its proper divisors (3615006528).

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

1377617472 is a wasteful number, since it uses less digits than its factorization.

1377617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The square root of 1377617472 is about 37116.2696401457. The cubic root of 1377617472 is about 1112.6951987073.

The spelling of 1377617472 in words is "one billion, three hundred seventy-seven million, six hundred seventeen thousand, four hundred seventy-two".