35348221440 has 480 divisors, whose sum is σ = 142242699456. Its totient is φ = 7944929280.

The previous prime is 35348221427. The next prime is 35348221453. The reversal of 35348221440 is 4412284353.

35348221440 is a `hidden beast` number, since 3 + 534 + 82 + 2 + 1 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (35348221427) and next prime (35348221453).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 35348221395 and 35348221404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9836284 + ... + 9839876.

Almost surely, 2^35348221440 is an apocalyptic number.

35348221440 is a gapful number since it is divisible by the number (30) 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 35348221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71121349728).

35348221440 is an abundant number, since it is smaller than the sum of its proper divisors (106894478016).

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

35348221440 is a wasteful number, since it uses less digits than its factorization.

35348221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 35348221440 in words is "thirty-five billion, three hundred forty-eight million, two hundred twenty-one thousand, four hundred forty".