35420700 has 144 divisors (see below), whose sum is σ = 118992384. Its totient is φ = 7968000.

The previous prime is 35420669. The next prime is 35420717. The reversal of 35420700 is 702453.

It is a happy number.

It is a super-3 number, since 3×35420700³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

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, 212017 + ... + 212183.

It is an arithmetic number, because the mean of its divisors is an integer number (826336).

Almost surely, 2^35420700 is an apocalyptic number.

35420700 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 35420700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192).

35420700 is an abundant number, since it is smaller than the sum of its proper divisors (83571684).

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

35420700 is a wasteful number, since it uses less digits than its factorization.

35420700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 35420700 is about 5951.5292152522. The cubic root of 35420700 is about 328.4120218751.

The spelling of 35420700 in words is "thirty-five million, four hundred twenty thousand, seven hundred".