35478144 has 192 divisors, whose sum is σ = 115839360. Its totient is φ = 10340352.

The previous prime is 35478137. The next prime is 35478151. The reversal of 35478144 is 44187453.

It is an interprime number because it is at equal distance from previous prime (35478137) and next prime (35478151).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35478099 and 35478108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344397 + ... + 344499.

It is an arithmetic number, because the mean of its divisors is an integer number (603330).

Almost surely, 2^35478144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57919680).

35478144 is an abundant number, since it is smaller than the sum of its proper divisors (80361216).

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

35478144 is a wasteful number, since it uses less digits than its factorization.

35478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 35478144 is about 5956.3532467442. The cubic root of 35478144 is about 328.5894615362.

The spelling of 35478144 in words is "thirty-five million, four hundred seventy-eight thousand, one hundred forty-four".