1346677920 has 192 divisors, whose sum is σ = 5386832640. Its totient is φ = 307805184.

The previous prime is 1346677903. The next prime is 1346677921. The reversal of 1346677920 is 297766431.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1346677921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7974 + ... + 52506.

It is an arithmetic number, because the mean of its divisors is an integer number (28056420).

Almost surely, 2^1346677920 is an apocalyptic number.

1346677920 is a gapful number since it is divisible by the number (10) 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 1346677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693416320).

1346677920 is an abundant number, since it is smaller than the sum of its proper divisors (4040154720).

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

1346677920 is a wasteful number, since it uses less digits than its factorization.

1346677920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44564 (or 44550 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1346677920 is about 36697.1105129546. The cubic root of 1346677920 is about 1104.3021384764.

The spelling of 1346677920 in words is "one billion, three hundred forty-six million, six hundred seventy-seven thousand, nine hundred twenty".