35007420672 has 288 divisors, whose sum is σ = 120089088000. Its totient is φ = 9851922432.

The previous prime is 35007420631. The next prime is 35007420677. The reversal of 35007420672 is 27602470053.

It is a happy number.

35007420672 is a `hidden beast` number, since 3 + 500 + 74 + 20 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×35007420672³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (35007420677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3236329 + ... + 3247127.

It is an arithmetic number, because the mean of its divisors is an integer number (416976000).

Almost surely, 2^35007420672 is an apocalyptic number.

35007420672 is a gapful number since it is divisible by the number (32) 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 35007420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60044544000).

35007420672 is an abundant number, since it is smaller than the sum of its proper divisors (85081667328).

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

35007420672 is a wasteful number, since it uses less digits than its factorization.

35007420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 35007420672 in words is "thirty-five billion, seven million, four hundred twenty thousand, six hundred seventy-two".