1354329984 has 128 divisors (see below), whose sum is σ = 4244244480. Its totient is φ = 374446080.

The previous prime is 1354329983. The next prime is 1354329989. The reversal of 1354329984 is 4899234531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1354329984² = 3668419411122880512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354329983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75202 + ... + 91454.

It is an arithmetic number, because the mean of its divisors is an integer number (33158160).

Almost surely, 2^1354329984 is an apocalyptic number.

1354329984 is a gapful number since it is divisible by the number (14) 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 1354329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122122240).

1354329984 is an abundant number, since it is smaller than the sum of its proper divisors (2889914496).

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

1354329984 is a wasteful number, since it uses less digits than its factorization.

1354329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16308 (or 16296 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 1354329984 is about 36801.2225883869. Note that the first 3 decimals coincide. The cubic root of 1354329984 is about 1106.3898031621.

The spelling of 1354329984 in words is "one billion, three hundred fifty-four million, three hundred twenty-nine thousand, nine hundred eighty-four".